Cohomology Groups of Deformations of Line Bundles on Complex Tori

Details Cohomology Groups of Deformations of Line Bundles on Complex Tori Cohomology Groups of Deformations of Line Bundles on Complex Tori

2009-08-12

arxiv.org/abs/0908.1702v2

Israel Journal of Mathematics 186 (2011), 1, 349-380

Mathematics

Quantum Algebra

24 pages, exposition improved, typos fixed

Scientific paper

10.1007/s11856-011-0143-0

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 the cohomologies of non-commutative deformations of degree-zero line bundles.

Affiliated with

Also associated with

No associations

Rating

Cohomology Groups of Deformations of Line Bundles on Complex Tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology Groups of Deformations of Line Bundles on Complex Tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology Groups of Deformations of Line Bundles on Complex Tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-370668