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Given a quasi-compact and quasi-separated (qcqs) scheme X of finite type over a Noetherian ring R having an ample family of line bundles, we construct a closed embedding of X into a smooth (qcqs) scheme over R having an ample family of line bundles. Such a smooth scheme arises as an open subscheme of the multihomogeneous Proj of a Z n -graded ring.

Development induced displacement and resettlement (DIDR) projects should share their benefits with those affected by them. This paper shows that in the case of the Yangtze-Huai River Diversion Project in China perceptions of compensation received differs amongst different groups of resettled people even if levels of compensation are similar. Based on a survey with displaced people, a fuzzy comprehensive evaluation concludes that those with generic skills’ sets are the most satisfied, mainly because they are able to find new work and re-establish livelihoods after resettlement more quickly. On the other hand, those with only agricultural skills find it difficult to re-establish their livelihood and are often dissatisfied. Finally, those who did not have any work before resettlement were found to be satisfied overall as their life quality is said to have improved. The skills of those affected are therefore a key explanatory factor for satisfaction with compensation following resettlement

The paper describes an innovative methodological approach to Public Engagement already tested by the Authors in the healthcare context. We propose to apply our methodology to social innovation projects, focusing on gender perspective when promoting enhancements in health-community. Methodology mixes Psychosocial Participatory Research, Service-Design and “Human-Centered” approach, promoting an interdisciplinary, technological, and sustainable process. The final aim is to find viable solutions to real problems through the engagement of a community of experts and citizens in a three-step process. Awareness-raising actions: to increase people’s knowledge—group understanding of the subject and to stimulate reflection. Activities: Gender-Cafés, Ethnographic-Observations and Narrative-Interviews. Activation actions: group interventions in which initial stimuli are collected and processed into proposals for services and tools aimed at targeted groups. Activities: Barcamps, Generative Labs. Participation actions: multidisciplinary teams realize prototypes and elaborate concrete solutions (tools, services) addressing crucial gender issues. Activities: Hackathon, Service-Design-Labs.

Two iterative algorithms are suggested for approximating a solution of the split common fixed point problem involved in pseudo-contractive operators without Lipschitz assumption. We prove that the sequence generated by the first algorithm converges weakly to a solution of the split common fixed point problem and the second one converges strongly. Moreover, the sequence { x n } generated by Algorithm 3 strongly converges to z = proj S 0 , which is the minimum-norm solution of problem (1). Numerical examples are included.

We give examples of finite-dimensional algebras A for which the silting objects in K b ( proj - A ) are not connected by any sequence of (possibly reducible) silting mutations. The argument is based on the fact that silting mutation preserves invariance under twisting by a fixed algebra automorphism, combined with the existence of spherical modules that are not invariant under such a twist.

Exceptional cycles in a triangulated category $\mathcal T$ with Serre duality, introduced by N. Broomhead, D. Pauksztello, and D. Ploog, have a notable impact on the global structure of $\mathcal T$. In this paper we show that if $\mathcal T$ is homotopy-like, then any exceptional $1$-cycle is indecomposable and at the mouth; and any object in an exceptional $n$-cycle with $n\ge 3$ is at the mouth. Let $A$ be an indecomposable gentle $k$-algebra with $A\ne k$. The Hom spaces between string complexes at the mouth are explicitly determined. The main result classifies "almost all" the exceptional cycles in $K^b(A\mbox{-}{\rm proj})$, using characteristic components and their AG-invariants, except those exceptional $1$-cycles which are band complexes. Namely, the mouth of a characteristic component $C$ of $K^b(A\mbox{-}{\rm proj})$ forms a unique exceptional cycle in $C$, up to an equivalent relation $\approx$; if the quiver of $A$ is not of type $A_3$, this gives all the exceptional $n$-cycle in $K^b(A\mbox{-}{\rm proj})$ with $n\ge 2$, up to $\approx$; and a string complex is an exceptional $1$-cycle if and only if it is at the mouth of a characteristic component with {\rm AG}-invariant $(1, m)$. However, a band complex at the mouth is possibly not an exceptional $1$-cycle., 29 pages

Constructive journalism has become a popular term in recent years, and has been the basis of a number of seminars, conferences, courses at journalism schools, fellowship programs, and research projects. This article traces the origins of constructive journalism by describing and discussing the proponents, precedents, and principles of the movement. The article shows that constructive journalism is no new term and that its inherent principles share similarities with other well-known movements in the history of journalism. These include action journalism that was popular on both sides of the Atlantic at the turn of last century and public journalism that flourished at the turn of this century. Common for most of these movement are, however, their lack of conceptual clarity. The differences and similarities between constructive journalism, past movements, and more classical conceptions of journalism are analyzed through the framework of the Journalistic Compass that delineates four classical roles within journalism. The article concludes by describing the opportunities–and difficulties – that this recent movement faces as still more persons and organizations lay claim to practicing constructive journalism and it discusses how the proponents might learn from former movements that have gained popularity for a period but whose importance has since diminished.

A refurbishment project conducted within a municipal public housing complex is described and discussed through Project Ålidhem in northern Sweden. The overall energy efficiency goal within the project was a 40-50% reduction in the supplied energy for domestic hot water, building electricity and space heating. In the pilot study, a 43% improvement was observed. This paper focuses on the performance of four buildings constructed under a Delegation for Sustainable Cities program that specified an energy efficiency goal of 65 kWh/m2. This goal was approached, but not attained. Observations of utilization in four free-standing buildings were 68.3, 76.8, 87.2 and 87.6 kWh/m2 per year respectively, which are described and discussed herein.

Most of today’s complex systems and processes involve several stages through which input or the raw material has to go before the final product is obtained. Also in many cases factors at different stages interact. Therefore, a holistic approach for experimentation that considers all stages at the same time will be more efficient. However, there have been only a few attempts in the literature to provide an adequate and easy-to-use approach for this problem. In this paper, we present a novel methodology for constructing two-level split-plot and multistage experiments. The methodology is based on the Kronecker product representation of orthogonal designs and can be used for any number of stages, for various numbers of subplots and for different number of subplots for each stage. The procedure is demonstrated on both regular and nonregular designs and provides the maximum number of factors that can be accommodated in each stage. Furthermore, split-plot designs for multistage experiments with good projective properties are also provided. This is an [Accepted Manuscript] of an article published by Taylor & Francis in [Journal of Applied Statistics] on [04 May 2016], available at https://www.tandfonline.com/doi/full/10.1080/02664763.2016.1177497

For simplicity, we adopt the following convention: x, x0, y, y0, r are real numbers, z, z0 are elements of R2, Z is a subset of R2, f , f1, f2 are partial functions from R2 to R, R is a rest, and L is a linear function. Next we state two propositions: (1) domproj(1, 2) = R2 and rng proj(1, 2) = R and for all elements x, y of R holds (proj(1, 2))(〈x, y〉) = x. (2) domproj(2, 2) = R2 and rng proj(2, 2) = R and for all elements x, y of R holds (proj(2, 2))(〈x, y〉) = y.

Let i, n be elements of N. The functor proj(i, n) yielding a function from Rn into R is defined by: (Def. 1) For every element x of Rn holds (proj(i, n))(x) = x(i). Next we state two propositions: (1) dom proj(1, 1) = R1 and rng proj(1, 1) = R and for every element x of R holds (proj(1, 1))(〈x〉) = x and (proj(1, 1))−1(x) = 〈x〉. (2)(i) (proj(1, 1))−1 is a function from R into R1, (ii) (proj(1, 1))−1 is one-to-one, (iii) dom((proj(1, 1))−1) = R, (iv) rng((proj(1, 1))−1) = R1, and

We give a generalization of the classical tilting theorem. We show that for a 2-term silting complex $\mathbf{P}$ in the bounded homotopy category $K^b(\mathop{\rm proj}\nolimits A)$ of finitely generated projective modules of a finite dimensional algebra $A$, the algebra $B = \mathop{\rm End}\nolimits_{K^b(\mathop{\rm proj}\nolimits A)}(\mathbf{P})$ admits a 2-term silting complex $\mathbf{Q}$ with the following properties: (i) The endomorphism algebra of $\mathbf{Q}$ in $K^b(\mathop{\rm proj}\nolimits B)$ is a factor algebra of $A$, and (ii) there are induced torsion pairs in $\mathop{\rm mod}\nolimits A$ and $\mathop{\rm mod}\nolimits B$, such that we obtain natural equivalences induced by $\mathop{\rm Hom}\nolimits$- and $\mathop{\rm Ext}\nolimits$-functors. Moreover, we show how the Auslander-Reiten theory of $\mathop{\rm mod}\nolimits B$ can be described in terms of the Auslander-Reiten theory of $\mathop{\rm mod}\nolimits A$., 21 pages; improved the presentation

In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified. Furthermore, it is proved that the only three dimensional real hypersurfaces in non-flat complex space forms, whose k-th Cho operator with respect to any vector field X orthogonal to structure vector field commutes with the structure Jacobi operator, are the ruled ones. Finally, results concerning real hypersurfaces in complex hyperbolic space satisfying the above conditions are also provided., This paper is part of the work produced during the first author’s visit at the IEMath-Granada and supported by it. The second author is supported by grant Proj. No. NRF-2011-220-C0002 from National Research Foundation of Korea and by MCT-FEDER Grant MTM2010-18099.

We essentially reduce the problem of describing all natural operators $Q_{proj} \rightsquigarrow QV^{A}$ lifting projectable classical linear connections on fibred manifolds to classical linear connections on vertical Weil bundles.

Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal I_t(\cA) generated by the maximal minors of a homogeneous presentation matrix, \cA, of M has maximal codimension in R). Suppose X:=Proj(R/I_t(\cA)) is smooth in a sufficiently large open subset and dim X > 0. Then we prove that the local graded deformation functor of M is isomorphic to the local Hilbert (scheme) functor at X \subset Proj(R) under a week assumption which holds if dim X > 1. Under this assumptions we get that the Hilbert scheme is smooth at (X), and we give an explicit formula for the dimension of its local ring. As a corollary we prove a conjecture of R. M. Mir��-Roig and the author that the closure of the locus of standard determinantal schemes with fixed degrees of the entries in a presentation matrix is a generically smooth component V of the Hilbert scheme. Also their conjecture on the dimension of V is proved for dim X > 0. The cohomology H^i_{*}({\cN}_X) of the normal sheaf of X in Proj(R) is shown to vanish for 0 < i < dim X-1. Finally the mentioned results, slightly adapted, remain true replacing R by any Cohen-Macaulay quotient of a polynomial ring., 24 pages

We consider an algebraic variety X together with the choice of a subvariety Z. We show that any coherent sheaf on X can be constructed out of a coherent sheaf on the formal neighborhood of Z, a coherent sheaf on the complement of Z, and an isomorphism between certain representative images of these two sheaves in the category of coherent sheaves on a Berkovich analytic space W which we define., Comment: 20 pages

In this paper we show that the classes of MV-algebras and MV-semirings are isomorphic as categories. This approach allows one to keep the inspiration and use new tools from semiring theory to analyze the class of MV-algebras. We present a representation of MV-semirings by MV-semirings of continuous sections in a sheaf of commutative semirings whose stalks are localizations of MV-semirings over prime ideals. Using the categorical equivalence, we obtain a representation of MV-algebras.

The modular variety of nonsingular and complete hyperelliptic curves with level-two structure of genus 3 is a 5-dimensional quasi-projective variety which admits several standard compactifications. The first one realizes this variety as a subvariety of the Siegel modular variety of level two and genus three. It has 36 irreducible (isomorphic) components. One of the purposes of this paper will be to describe the equations of one of these components. Two further models use the fact that hyperelliptic curves of genus three can be obtained as coverings of a projective line with 8 branch points. There are two important compactifications of this configuration space. The first one, Y, uses the semistable degenerated point configurations in (P 1 ) 8 . This variety also can be identified with a Baily-Borel compactified ball-quotient Y = B/Γ[1 - i]. We will describe these results in some detail and obtain new proofs including some finer results for them. The other compactification uses the fact that families of marked projective lines can degenerate to stable marked curves of genus 0. We use the standard notation M 0,8 for this compactification. We have a diagram The horizontal arrow is only birational but not everywhere regular. In this paper we find another realization of this triangle which uses the fact that there are graded algebras (closely related to algebras of modular forms) A, B such that X = proj(A), Y = proj(B).

This work reports some results of a joint activity research pursued within the Project C of NEWCom (European network of excellence in communications). The aim of the activity is to investigate adaptive cross-layer techniques for heterogeneous wireless networks and try to obtain some general rules. In particular the singular or joint adaptation of scheduling and link adaptation algorithms is studied by means of simulation platforms for which proper scenarios and metrics have been defined.

Let I denote an R_+ -primary homogeneous ideal in a normal standard-graded Cohen-Macaulay domain over a field of positive characteristic p. We give a linear degree bound for the Frobenius powers I^[q] of I, q=p^e, in terms of the minimal slope of the top-dimensional syzygy bundle on the projective variety Proj R. This provides an inclusion bound for tight closure. In the same manner we give a linear bound for the Castelnuovo-Mumford regularity of the Frobenius powers I^[q]., Comment: Some minor changes and some examples added; to appear in Mich. Math. Journal

Let $X$ be a general divisor in $|3M+nL|$ on the rational scroll $\mathrm{Proj}(\oplus_{i=1}^{4}\mathcal{O}_{\mathbb{P}^{1}}(d_{i}))$, where $d_{i}$ and $n$ are integers, $M$ is the tautological line bundle, $L$ is a fibre of the natural projection to $\mathbb{P}^{1}$, and $d_{1}\geqslant...\geqslant d_{4}=0$. We prove that $X$ is rational $\iff$ $d_{1}=0$ and $n=1$., 8 pages, short version, to appear in Advances in Geometry

Let $X$ be a projective scheme over a noetherian base scheme $S$, and let $F$ be a coherent sheaf on $X$. For any coherent sheaf $E$ on $X$, consider the set-valued contravariant functor $Hom_{E,F}$ on $S$-schemes, defined by $Hom_{E,F}(T) = Hom(E_T,F_T)$ where $E_T$ and $F_T$ are the pull-backs of $E$ and $F$ to $X_T = X\times_S T$. A basic result of Grothendieck ([EGA] III 7.7.8, 7.7.9) says that if $F$ is flat over $S$ then $Hom_{E,F}$ is representable for all $E$. We prove the converse of the above, in fact, we show that if $L$ is a relatively ample line bundle on $X$ over $S$ such that the functor $Hom_{L^{-n},F}$ is representable for infinitely many positive integers $n$, then $F$ is flat over $S$. As a corollary, taking $X=S$, it follows that if $F$ is a coherent sheaf on $S$ then the functor $T\mapsto H^0(T, F_T)$ on the category of $S$-schemes is representable if and only if $F$ is locally free on $S$. This answers a question posed by Angelo Vistoli. The techniques we use involve the proof of flattening stratification, together with the methods used in proving the author's earlier result (see arXiv.org/abs/math.AG/0204047) that the automorphism group functor of a coherent sheaf on $S$ is representable if and only if the sheaf is locally free., 9 pages, LaTeX

We construct new examples of Kobayashi hyperbolic hypersurfaces in the projective 4-space. They are generic projections of the triple symmetric product of a generic curve of genus at least 7, smoothly embedded in the projective 7-space., Comment: 22 pages, LaTeX

We prove that an abelian category equipped with an ample sequence of objects is equivalent to the quotient of the category of coherent modules over the corresponding algebra by the subcategory of finite-dimensional modules. In the Noetherian case a similar result was proved by Artin and Zhang., AMSLatex, 11 pages; Proposition 2.6 is strengthened

We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An arithmetic arrangement in a locally symmetric variety of type IV determines such a completion canonically. This completion admits a natural contraction that leaves the complement of the arrangement untouched. The resulting completion of the arrangement complement is very much like a Baily-Borel compactification: it is the proj of an algebra of meromorphic automorphic forms. When that complement has a moduli space interpretation, then what we get is often a compactification obtained by means of geometric invariant theory. We illustrate this with several examples: moduli spaces of polarized $K3$ and Enriques surfaces and the semi-universal deformation of a triangle singularity. We also discuss the question when a type IV arrangement is definable by an automorphic form., The section on arrangements on tube domains has beeen expanded in order to make a connection with a conjecture of Gritsenko and Nikulin. Also added: a list of notation and some references. Finally some typo's corrected and a few minor changes made in notation

In this note, we show how abstract localization and graded versions of the Artin-Rees property may be applied to construct structure sheaves over the projective spectrum Proj(R) of a graded fully bounded noetherian ring R.

We define schematic algebras to be algebras which have “enough” Ore-sets. Many graded algebras studied nowadays are schematic. We construct a generalised Grothendieck topology for the free monoid on all Ore-sets of a schematic algebra R . This allows us to develop a sheaf theory which is similar to the scheme theory for commutative algebras. In particular, we obtain an equivalence between the category of all coherent sheaves and the category Proj R as it is defined in (Artin; 1992).

Let A be a positively graded, connected affine C -algebra generated in degree one which is a finite module over a central subring R . Let A be the structure sheaf over Proj( R ) and Spec Z the central Proj. If injdim( A ) Spec Z has singularities unless the ramification locus of A is pure of codimension one. If gldim( A ) A and the singular locus of Spec Z coincide.

In any learnability setting, hypotheses are conjectured from some hypothesis space. Studied herein are the influence on learnability of the presence or absence of certain control structures in the hypothesis space. First presented are control structure characterizations of some rather specific but illustrative learnability results. The presence of these control structures is thereby shown essential to maintain full learning power. Then presented are the main theorems. Each of these non-trivially characterizes the invariance of a learning class over hypothesis space V and the presence of a particular projection control structure, called proj, in V as: V has suitable instances of all denotational control structures. In a sense, then, proj epitomizes the control structures whose presence need not help and whose absence need not hinder learning power.

We will study a relationship between the Brylinski–Radon and the Fourier transforms of a monodromic perverse sheaf. In fact we will show that they are equivalent modulo a constant perverse sheaf. As an application, we will discuss a relation between the Sklyanin transform and the Brylinski–Radon transform.

Let Cox(S) be the homogeneous coordinate ring of the blow-up S of P^2 in r general points, i.e., a smooth Del Pezzo surface of degree 9-r. We prove that for r=6 and 7, Proj(Cox(S)) can be embedded into G/P, where G is an algebraic group with root system given by the primitive Picard lattice of S and P is a certain maximal parabolic subgroup in G., 15 pages

The sheaf representation theory of Mulvey extends to Z2-graded-commutative Gelfand rings. On application to Kostant's theory of graded manifolds (X, A ), for which partitions of unity are known to exist, this gives a canonical way of constructing the sheaf A from the Gelfand algebra A (X). A direct definition of a product graded manifold is possible using coalgebraic completion of the tensor products A (U)⊗ B (V). By using this completion of the tensor product, graded Lie groups may be discussed without further use of coalgebras. Graded Lie groups are necessarily globally trivial and the structure maps are derived.

With existing agents and methods, the object of leprosy control proj ects i.s to reduce progressively over a period of many years the morbidity of leprosy to a level at which it no longer presents an important public health problem . The achievement of this objective depends on several measures, administrative, medical, social and legal, and on health education and training of personnel. The assessment of a leprosy project should therefore be concerned with all the measures applied in the control of the disease. In this note we shall deal only with the medical measures. Moreover, to limit the length of the paper, we shall suggest only the assessment measurements without considering the interpretation of results which may derive from the evaluation : also we shall not discuss the actions or measures which could be pertinent after the assessment . We shall stress that in the interpretation of results, in the choice of the best strategy to reach the objectives , and in the action to be taken after evaluation, all the local factors should be taken into account. The evaluation o f the medical measures should be concerned with the operational aspects of the proj ect (opera tional assessment) and with the trend of the disease under the influence of the control measures, often associated with other factors (epidemiological assessment) . For both types of assessment i t is indispensable to have the relevant base-line information, and for the former it is necessary to know whether or not the programme has quantitatively defined objectives and also to know the priorities adopted. In each country or area the measurement indicators to be selected, and the interpretation of the findings, should be considered in the light of these elements. In fact, to consider only one of these factors, in control programmes with quantitatively defined objectives , the assessment at central level or in each unit is more easily done by comparing the achievement in each activity (cases to be diagnosed, treated, etc.) with the target proposed for monthly, quarterly or annual periods.