AI 中文总结
本文研究半正规仿射环簇的一阶无穷小形变，给出其形变模的一般性描述，针对满足Serre's (S₂)条件的半正规簇，在曲面情形还给出含各齐次分量维数的详细结果。
AI 中文摘要
我们对不一定正规的仿射环簇X的一阶无穷小形变模T¹_X给出了一般性描述，特别关注满足Serre's (S₂)条件的半正规簇。在曲面情形，我们能给出极为详细具体的结果，包括每个齐次分量的维数。
英文摘要
We provide a general description of the module $T^1_X$ of first-order infinitesimal deformations of a not necessarily normal affine toric variety $X$ with a special emphasis on seminormal varieties satisfying Serre's $(S_2)$ condition. In the surface case we are able to give a very detailed and concrete picture which includes the dimension of each homogeneous component.
Comments21 pages
