Differential Structure of Abelian Functions

Details Differential Structure of Abelian Functions Differential Structure of Abelian Functions

2006-04-12

arxiv.org/abs/math/0604267v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

The space of abelian functions of a principally polarized abelian variety J is studied as a module over the ring D of global holomorphic differential operators on J. We construct a D-free resolution in case the theta divisor is non-singular. As an application, in the case of dimension 2 and 3, we construct a new linear basis of the space of abelian functions in terms of logarithmic derivatives of the higher dimensional sigma function.

Affiliated with

Also associated with

No associations

Rating

Differential Structure of Abelian Functions 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 Differential Structure of Abelian Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Structure of Abelian Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225470