Algebraic surfaces and hyperbolic geometry
Algebraic Geometry
2010-08-24 v1 Group Theory
Abstract
This is a survey of the Kawamata-Morrison cone conjecture on the structure of Calabi-Yau varieties and more generally Calabi-Yau pairs. We discuss the proof of the cone conjecture for algebraic surfaces, with plenty of examples. We show that the automorphism group of a K3 surface need not be commensurable with an arithmetic group, which answers a question by Mazur.
Cite
@article{arxiv.1008.3825,
title = {Algebraic surfaces and hyperbolic geometry},
author = {Burt Totaro},
journal= {arXiv preprint arXiv:1008.3825},
year = {2010}
}
Comments
19 pages, 2 figures; to appear in the MSRI volume on Classical Algebraic Geometry Today