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

Pub Date : 2020-09-04 DOI:10.1215/21562261-10577928
Annalisa Grossi, C. Onorati, Davide Cesare Veniani
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引用次数: 8

Abstract

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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O’Grady六折叠上有限阶的辛双能变换
我们证明了OG6型流形上有限阶的任何辛自同构平凡地作用于Beauville-Bogomolov-Fujiki格上,并且证明了有限阶的任意对偶变换平凡地作用在其判别群上。此外,我们对所有可能的不变和共变子格进行了分类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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