On algebraic varieties with finite polyhedral Mori cone
Algebraic Geometry
2007-05-23 v2
Abstract
The fundamental property of Fano varieties with mild singularities is that they have a finite polyhedral Mori cone. Thus, it is very interesting to ask: What we can say about algebraic varieties with a finite polyhedral Mori cone? I give a review of known results. All of them were obtained applying methods which were originated in the theory of discrete groups generated by reflections in hyperbolic spaces with a fundamental chamber of finite volume. This is my report on Fano conference in Torino, October 2002
Keywords
Cite
@article{arxiv.math/0305040,
title = {On algebraic varieties with finite polyhedral Mori cone},
author = {Viacheslav V. Nikulin},
journal= {arXiv preprint arXiv:math/0305040},
year = {2007}
}
Comments
16 pages, no figures; a few offprints corrected