Brill-Noether loci and generated torsionfree sheaves over nodal and cuspidal curves

Bhosle, Usha N. ; Singh, Sanjay Kumar (2013) Brill-Noether loci and generated torsionfree sheaves over nodal and cuspidal curves Manuscripta Mathematica, 141 (1-2). pp. 241-271. ISSN 0025-2611

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Official URL: https://link.springer.com/article/10.1007/s00229-0...

Related URL: http://dx.doi.org/10.1007/s00229-012-0571-0

Abstract

We determine (semi)stability of kernels of evaluation maps of globally generated torsion-free sheaves on a nodal and cuspidal curve in some important cases. We use them to study Brill-Noether loci for torsion-free sheaves with slope μ less than two. The conditions for nonemptiness and singular sets of Brill-Noether loci are determined. Explicit descriptions of Brill-Noether loci are given in some cases. We also apply our results to study (semi)stability properties of the restrictions of the Picard bundle Ed (on the compactified Jacobian) to the images of Y in the compactified Jacobian for certain embeddings.

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ID Code:112210
Deposited On:23 Jan 2018 12:10
Last Modified:23 Jan 2018 12:10

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