Theta-functions on noncommutative tori
Skip to main content
eScholarship
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Theta-functions on noncommutative tori

Published Web Location

https://arxiv.org/pdf/math/0107186.pdf
No data is associated with this publication.
Abstract

Ordinary theta-functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta-functions as holomorphic elements of projective modules over noncommutative tori (theta-vectors). The theory of these new objects is not only more general, but also much simpler than the theory of ordinary theta-functions. It seems that the theory of theta-vectors should be closely related to Manin's theory of quantized theta-functions, but we don't analyze this relation.

Item not freely available? Link broken?
Report a problem accessing this item