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
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.