Algebraically trivial automorphisms of irreducible holomorphic symplectic manifolds

We extend the lattice-theoretic approach of Brandhorst--Cattaneo to classify algebraically trivial actions on the known IHS manifolds, up to deformation and birational conjugacy. In particular, we classify even order algebraically trivial non symplectic automorphisms, with or without trivial discrim...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Author: Muller, Stevell
Format: Article
Language:English
Subjects:
Automorphisms
Classification
Deformation
Manifolds
Online Access:Get full text
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Summary:We extend the lattice-theoretic approach of Brandhorst--Cattaneo to classify algebraically trivial actions on the known IHS manifolds, up to deformation and birational conjugacy. In particular, we classify even order algebraically trivial non symplectic automorphisms, with or without trivial discriminant action. In the case of nontrivial discriminant actions, we show that such automorphisms exist only for finitely many known deformation types and orders.
ISSN:2331-8422