Symplectic birational transformations of finite order on O'Grady's sixfolds
Algebraic Geometry
2023-08-04 v4
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.
Keywords
Cite
@article{arxiv.2009.02120,
title = {Symplectic birational transformations of finite order on O'Grady's sixfolds},
author = {Annalisa Grossi and Claudio Onorati and Davide Cesare Veniani},
journal= {arXiv preprint arXiv:2009.02120},
year = {2023}
}
Comments
Final version, to appear on Kyoto J. Math