On toric varieties and algebraic semigroups
代数几何
2007-05-23 v1
摘要
The main result of this paper is that every (separated) toric variety which has a semigroup structure compatible with multiplication on the underlying torus is necessarily affine. In the course of proving this statement, we also give a proof of the fact that every separated toric variety may be constructed from a certain fan in a Euclidean space. To our best knowledge, this proof differs essentially from the ones which can be found in the literature.
引用
@article{arxiv.math/0004167,
title = {On toric varieties and algebraic semigroups},
author = {Dmitriy Boyarchenko},
journal= {arXiv preprint arXiv:math/0004167},
year = {2007}
}
备注
LaTeX, 13 pages