论文标题

关于准平滑加权的完整交叉点的自动形态

On automorphisms of quasi-smooth weighted complete intersections

论文作者

Przyjalkowski, Victor, Shramov, Constantin

论文摘要

我们表明,准平滑良好形成的加权完整交点的自动形态组的每个还原亚组都是对环境加权投影空间中自动形态组中亚组的限制。另外,我们提供了例子,证明了一个准平滑良好的FANO加权完全交叉点的自动形态组可能是无限的,甚至是非还原性的。

We show that every reductive subgroup of the automorphism group of a quasi-smooth well formed weighted complete intersection is a restriction of a subgroup in the automorphism group in the ambient weighted projective space. Also, we provide examples demonstrating that an automorphism group of a quasi-smooth well formed Fano weighted complete intersection may be infinite and even non-reductive.

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