论文标题
辐射的复曲面品种和单一团体动作
Radiant toric varieties and unipotent group actions
论文作者
论文摘要
我们考虑完整的折磨品种$ x $，以使自动形态组的最大单位子组$ u $ $ u $ $ \ text {aut}（x）$在$ x $上带有开放的轨道。事实证明，这些品种可以以几种显着的特性来表征。我们研究相应完整风扇的一组扎唑根，描述$ \ text {aut}（x）$中的最大单位子组$ u $的结构，并在$ u $中找到所有常规子群，该$ u $用开放的轨道在$ x $上作用。
We consider complete toric varieties $X$ such that a maximal unipotent subgroup $U$ of the automorphism group $\text{Aut}(X)$ acts on $X$ with an open orbit. It turns out that such varieties can be characterized by several remarkable properties. We study the set of Demazure roots of the corresponding complete fan, describe the structure of a maximal unipotent subgroup $U$ in $\text{Aut}(X)$, and find all regular subgroups in $U$ that act on $X$ with an open orbit.
