A note on the Nielsen realization problem for hyper-Kähler manifolds

Fuente: arXiv
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Autore principale: Billi, Simone
Natura: Preprint
Pubblicazione: 2022
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author Billi, Simone
author_facet Billi, Simone
contents We give an answer to the Nielsen realization problem for hyper-Kähler manifolds in terms of the same invariant used for K3 surfaces. We determine that, for some of the known deformation types, the representation of the mapping class group on the second cohomology admits a section on its image.
format Preprint
id arxiv_https___arxiv_org_abs_2211_04127
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A note on the Nielsen realization problem for hyper-Kähler manifolds
Billi, Simone
Algebraic Geometry
Geometric Topology
14J42, 53C26, 32Q20
We give an answer to the Nielsen realization problem for hyper-Kähler manifolds in terms of the same invariant used for K3 surfaces. We determine that, for some of the known deformation types, the representation of the mapping class group on the second cohomology admits a section on its image.
title A note on the Nielsen realization problem for hyper-Kähler manifolds
topic Algebraic Geometry
Geometric Topology
14J42, 53C26, 32Q20
url https://arxiv.org/abs/2211.04127