COMPUTATION OF THE VECTOR-SPACE T(1) FOR AFFINE TORIC VARIETIES

被引：10
|
作者：
ALTMANN, K
机构：
[1] Mathem.-Naturwissenschaftl. Fakultät II, Institut für reine mathematik, D-10099 Berlin
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 1994年 / 95卷 / 03期
关键词：
D O I：
10.1016/0022-4049(94)90060-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the vector space T1 of first-order infinitesimal deformations for affine toric varieties X(sigma). The results is given by two different formulas which use combinatorial data of the given cone sigma only. One of these formulas suggests that there is a relation between deformations of affine toric varieties, on the one hand, and splitting of certain polyhedra into a Minkowski sum, on the other hand. As an application, the result is used to investigate when three-dimensional affine toric varieties are rigid.
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页码：239 / 259
页数：21
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