Tau function and the Prym class
Algebraic Geometry
2013-02-22 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We use the formalism of the Bergman tau functions to study the geometry of moduli spaces of holomorphic quadratic differentials on complex algebraic curves. We introduce two natural tau functions and interpret them as holomorphic sections of certain line bundles on the moduli space. Analyzing the asymptotic behavior of these tau functions near the boundary of the moduli space we get two non-trivial relation in the rational Picard group of the moduli space of quadratic differential.
Keywords
Cite
@article{arxiv.1302.0577,
title = {Tau function and the Prym class},
author = {D. Korotkin and P. Zograf},
journal= {arXiv preprint arXiv:1302.0577},
year = {2013}
}
Comments
20 pages