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Generated coherent systems and a conjecture of D. C. Butler.
- Source :
-
International Journal of Mathematics . May2019, Vol. 30 Issue 5, pN.PAG-N.PAG. 25p. - Publication Year :
- 2019
-
Abstract
- Let (E , V) be a general generated coherent system of type (n , d , n + m) on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of E to the semistability of the kernel of the evaluation map V ⊗ 𝒪 X → E. The aim of this paper is to obtain results on the existence of generated coherent systems and use them to prove Butler's Conjecture in some cases. The strongest results are obtained for type (2 , d , 4) , which is the first previously unknown case. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGICAL prediction
*ALGEBRAIC curves
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 30
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 136919670
- Full Text :
- https://doi.org/10.1142/S0129167X19500241