Real Multiplication on Jacobian Varieties
Algebraic Geometry
2012-01-10 v1 Complex Variables
Abstract
This is a slightly revised version of the author's 2010 diploma thesis. It is concerned with the interplay between real multiplication on Jacobian varieties, as the title suggests, and complex geodesics in the moduli space of curves. Large parts are expository and may hopefully serve as a very incomplete introduction to Teichmueller disks and curves, the moduli space of abelian differentials with its SL2(R)-operation and variations of Hodge structure.
Cite
@article{arxiv.1201.1570,
title = {Real Multiplication on Jacobian Varieties},
author = {Robert A. Kucharczyk},
journal= {arXiv preprint arXiv:1201.1570},
year = {2012}
}
Comments
112 pages