The Classification of Hyperelliptic Groups in Dimension 4
Algebraic Geometry
2022-11-16 v1 Complex Variables
Representation Theory
Abstract
Hyperelliptic manifolds are natural generalizations of hyperelliptic surfaces in dimensions. We provide a full classification of the groups, which arise as the holonomy group of a 4-dimensional hyperelliptic manifold. The classification is mostly based on group- and representation-theoretic methods.
Cite
@article{arxiv.2211.07998,
title = {The Classification of Hyperelliptic Groups in Dimension 4},
author = {Andreas Demleitner},
journal= {arXiv preprint arXiv:2211.07998},
year = {2022}
}
Comments
176 pages, GAP Code contained in the appendix