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On linear series and a conjecture of D. C. Butler

Bhosle, UN and Brambila-Paz, L and Newstead, PE (2015) On linear series and a conjecture of D. C. Butler. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 26 (2).

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Official URL: http://dx.doi.org/10.1142/S0129167X1550007X

Abstract

Let C be a smooth irreducible projective curve of genus g and L a line bundle of degree d generated by a linear subspace V of H-0 (L) of dimension n+1. We prove a conjecture of D. C. Butler on the semistability of the kernel of the evaluation map V circle times O-C -> L and obtain new results on the stability of this kernel. The natural context for this problem is the theory of coherent systems on curves and our techniques involve wall crossing formulae in this theory.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Keywords: Linear series; coherent systems; stability; Brill-Noether; Petri curve
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 21 Apr 2015 07:00
Last Modified: 21 Apr 2015 07:00
URI: http://eprints.iisc.ac.in/id/eprint/51311

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