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A Riemann Singularity Theorem for Generalised Brill – Noether Loci

✍ Scribed by Montserrat Teixidor

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
307 KB
Volume
196
Category
Article
ISSN
0025-584X

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✦ Synopsis

Consider a generic vector bundle E of given rank m d degree. Consider the subscheme of the Jacobian of line bundles L such that E 8 L has a ssction. We show that the ringular locue of this subscheme consists of all line bundles such that E 0 L has at least two sections.

📜 SIMILAR VOLUMES

Singularities of Brill-Noether loci for
Singularities of Brill-Noether loci for vector bundles on a curve
✍ Sebastian Casalaina-Martin; Montserrat Teixidor i Bigas 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 262 KB 👁 1 views

## Abstract In this paper we consider the singularities of the varieties parameterizing stable vector bundles of fixed rank and degree with sections on a smooth curve of genus at least two. In particular, we extend results of Y. Laszlo, and of the second author, regarding the singularities of gener