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Separators of points on algebraic surfaces
- Source :
-
Journal of Pure & Applied Algebra . Oct2006, Vol. 207 Issue 2, p319-326. 8p. - Publication Year :
- 2006
-
Abstract
- Abstract: For a finite set of points and for a given point , the notion of a separator of in (a hypersurface containing all the points in except ) and of the degree of in , (the minimum degree of these separators) has been largely studied. In this paper we extend these notions to a set of points on a projectively normal surface , considering as separators arithmetically Cohen–Macaulay curves and generalizing the case in a natural way. We denote the minimum degree of such curves as and we study its relation to . We prove that if is a variety of minimal degree these two terms are explicitly related by a formula, whereas only an inequality holds for other kinds of surfaces. [Copyright &y& Elsevier]
- Subjects :
- *CURVES
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 207
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 21742968
- Full Text :
- https://doi.org/10.1016/j.jpaa.2005.10.016