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Singularities of Brill-Noether loci for vector bundles on a curve

✍ Scribed by Sebastian Casalaina-Martin; Montserrat Teixidor i Bigas

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
262 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 generalized theta divisors. Β© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

πŸ“œ SIMILAR VOLUMES

A Riemann Singularity Theorem for Genera
A Riemann Singularity Theorem for Generalised Brill – Noether Loci
✍ Montserrat Teixidor πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 307 KB πŸ‘ 1 views

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.

On the Orbit Method for the Lie Algebra
On the Orbit Method for the Lie Algebra of Vector Fields on a Curve
✍ Rosane Ushirobira πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 326 KB

Let α’„ be the Lie algebra of vector fields on an affine smooth curve ⌺. Our goal is to establish an orbit method for α’„. Since α’„ is infinite-dimensional, we face some technical problems. Without having groups acting on α’„, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti