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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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
Publication:	INTERNATIONAL JOURNAL OF MATHEMATICS
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
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
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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