## 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
Noether-Lefschetz Problems for Vector Bundles
β Scribed by Jeroen G. Spandaw
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 949 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
In this paper we generalize two NoetherβLefschetz theorems for surfaces by L. Ein to varieties of arbitrary even dimension. Our results also generalize the classical NoetherβLefschetz theorem for complete intersections of even dimension in β~n~.
π SIMILAR VOLUMES
We use martingale methods to give Bismut type derivative formulas for differentials and co-differentials of heat semigroups on forms, and more generally for sections of vector bundles. The formulas are mainly in terms of Weitzenbo ck curvature terms; in most cases derivatives of the curvature are no
## Abstract We give a complete classification of equivariant vector bundles of rank two over smooth complete toric surfaces and construct moduli spaces of such bundles. This note is a direct continuation of an earlier note where we developed a general description of equivariant sheaves on toric var