The Classification of Hyperelliptic Groups in Dimension 4
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2022
- DOI:
- 10.48550/arXiv.2211.07998
- arXiv:
- arXiv:2211.07998
- Bibcode:
- 2022arXiv221107998D
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Complex Variables;
- Mathematics - Representation Theory;
- 14L30;
- 14J10;
- 32Q57 (Primary) 20H15;
- 20C15;
- 53C29 (Secondary)
- E-Print:
- 176 pages, GAP Code contained in the appendix