Theta-functions for indefinite polarizations
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0011112,
title = {Theta-functions for indefinite polarizations},
author = {Ilia Zharkov},
journal= {arXiv preprint arXiv:math/0011112},
year = {2007}
}
备注
19 pages, 1 figure; Version for publication