Rank four vector bundles without theta divisor over a curve of genus two-Reference-Cited by-同舟云学术

Rank four vector bundles without theta divisor over a curve of genus two

Published:2010-04-23 Issue:4 Volume:10 Page:647-657
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Pauly Christian¹

Affiliation:

1. Département de Mathématiques, Université de Montpellier II - Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France. Email:

Abstract

Abstract We show that the locus of stable rank four vector bundles without theta divisor over a smooth projective curve of genus two is in canonical bijection with the set of theta-characteristics. We give several descriptions of these bundles and compute the degree of the rational theta map.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2010.031/pdf

Reference12 articles.

1. Orthogonal bundles on curves and theta functions

2. Vector bundles and theta functions on curves of genus 2 and 3

3. Normal generation of vector bundles over a curve

4. Raynaud’s vector bundles and base points of the generalized Theta divisor

5. RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO

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