We propose a new method of classifying vector bundles on projective curves, especially singular ones, according to their "representation type." In particular, we prove that the classification problem of vector bundles, respectively of torsion-free sheaves, on projective curves is always finite, tame
Exact Sequence of Stable Vector Bundles on Projective Curves
β Scribed by Edoardo Ballico; Leticia Brambila; Barbara Russo
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 338 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let A' be a smooth complex projective curve of genus g over an algebraically closed field k of charcteristic 0. In this paper we prove that given two general stable bundles F and G such that
' max {rank G , r a n k F ) 9 -1 there exists an extension (0.1
π SIMILAR VOLUMES
## 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