Star product formula of theta functions
Quantum Algebra
2009-11-11 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect to the Moyal star product of a fixed noncommutative parameter. These theta functions can be regarded as bases of the space of holomorphic homomorphisms between holomorphic line bundles over noncommutative complex tori.
Cite
@article{arxiv.math/0510307,
title = {Star product formula of theta functions},
author = {Hiroshige Kajiura},
journal= {arXiv preprint arXiv:math/0510307},
year = {2009}
}
Comments
12 pages