Complete toric varieties with reductive automorphism group
代数几何
2007-05-23 v1 组合数学
摘要
We give equivalent and sufficient criteria for the automorphism group of a complete toric variety, respectively a Gorenstein toric Fano variety, to be reductive. In particular we show that the automorphism group of a Gorenstein toric Fano variety is reductive, if the barycenter of the associated reflexive polytope is zero. Furthermore a sharp bound on the dimension of the reductive automorphism group of a complete toric variety is proven by studying the set of Demazure roots.
引用
@article{arxiv.math/0407491,
title = {Complete toric varieties with reductive automorphism group},
author = {Benjamin Nill},
journal= {arXiv preprint arXiv:math/0407491},
year = {2007}
}
备注
AMS-LaTeX, 20 pages with 1 figure