Journal article

### Cohomology groups of deformations of line bundles on complex tori

Abstract:

The cohomology groups of line bundles over complex tori (or abelian varieties) are classically studied invariants of these spaces. In this article, we compute the cohomology groups of line bundles over various holomorphic, non-commutative deformations of complex tori. Our analysis interpolates between two extreme cases. The first case is a calculation of the space of (cohomological) theta functions for line bundles over constant, commutative deformations. The second case is a calculation of t...

### Access Document

Publisher copy:
10.1007/s11856-011-0143-0

### Authors

Journal:
Israel Journal of Mathematics
Volume:
186
Issue:
1
Pages:
349-380
Publication date:
2011-11-05
DOI:
EISSN:
1565-8511
ISSN:
0021-2172
URN:
Source identifiers:
357060
Local pid:
pubs:357060
Language:
English