Theta-functions for indefinite polarizations
Abstract
Description
We propose a generalization of the classical theta function to higher cohomology of the polarization line bundle on a family of complex tori with positive index. The constructed cocycles vary horizontally with respect to the (projective) flat connection on this family coming from a heat operator. They also possess modular properties similar to the classical ones.
19 pages, 1 figure; Version for publication
19 pages, 1 figure; Version for publication