论文标题
在halosphical品种和除数类群体上的自动形态轨道轨道
Automorphism group orbits on horospherical varieties and divisor class group
论文作者
论文摘要
2013年,巴兹霍夫在完整的复合品种上证明了两个点的标准,可以位于自动形态群体中立成分的相同轨道中。该标准是根据Divisor class组的。 Arzhantsev-Bazhov(2013)获得了类似的仿射曲折品种标准。我们证明了与仿射和投射h鼠品种的情况相似的必要条件。
In 2013 Bazhov proved a criterium for two points on a complete toric variety to lie in the same orbit of the neutral component of automorphism group. This criterium is in terms of divisor class group. Arzhantsev-Bazhov (2013) obtained a similar criterium for affine toric varieties. We prove a necessary condition similar this criteria to the cases of affine and projective horospherical varieties.