Year: 2010
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Totaro, Burt
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1591995441