论文标题

奥格雷迪(O'Grady

Symplectic birational transformations of finite order on O'Grady's sixfolds

论文作者

Grossi, Annalisa, Onorati, Claudio, Veniani, Davide Cesare

论文摘要

我们证明,OG6型的有限顺序的任何符合性自动形态均在Beauville-Bogomolov--Fujiki晶格上琐碎地起作用,并且任何有限秩序的异性转变都在其歧视群体上琐碎地起作用。此外,我们对所有可能的不变和共同的sublattices进行了分类。

We prove that any symplectic automorphism of finite order on a manifold of type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that any birational transformation of finite order acts trivially on its discriminant group. Moreover, we classify all possible invariant and coinvariant sublattices.

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