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

  • 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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Metadaten
Author:Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/107718
ISSN:2156-2261OPAC
Parent Title (English):Kyoto Journal of Mathematics
Publisher:Duke University Press
Type:Article
Language:English
Year of first Publication:2023
Release Date:2023/09/19
Volume:63
Issue:3
First Page:615
Last Page:639
DOI:https://doi.org/10.1215/21562261-10577928
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Algebra und Zahlentheorie