A note on the Nielsen realization problem for hyper-K\"ahler manifolds
Algebraic Geometry
2025-04-09 v3 Geometric Topology
Abstract
We give an answer to the Nielsen realization problem for hyper-K\"ahler 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.
Keywords
Cite
@article{arxiv.2211.04127,
title = {A note on the Nielsen realization problem for hyper-K\"ahler manifolds},
author = {Simone Billi},
journal= {arXiv preprint arXiv:2211.04127},
year = {2025}
}
Comments
Removed section 2 and other minor changes, 7 pages. Comments are welcome!