Let X be an affine toric variety over an algebraically closed field of characteristic zero. Orbits of connected component of identity of automorphism group in terms of dimensions of tangent spaces of the variety X are described. A formula to calculate these dimensions is presented.

中文翻译：

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仿射复曲面自同构群的轨道的几何描述

令X为特征零的代数封闭域上的仿射复曲面变体。根据变种X的切线空间的维数，描述了自同构群的恒等式的连通分量的轨道。给出了计算这些尺寸的公式。