Taniguchi Lecture on Principal Bundles on Elliptic Fibrations
High Energy Physics - Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).
Keywords
Cite
@article{arxiv.hep-th/9802094,
title = {Taniguchi Lecture on Principal Bundles on Elliptic Fibrations},
author = {Ron Y. Donagi},
journal= {arXiv preprint arXiv:hep-th/9802094},
year = {2007}
}
Comments
17 pages, Latex