Fairbairn, Ben (2020) Strongly Real Beauville Groups III. In: Neumann, F. and Schroll, S. (eds.) Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants - Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, UK, June 2018. Springer Proceedings in Mathematics & Statistics 330. Springer, pp. 1-22. ISBN 9783030517946.
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Abstract
Beauville surfaces are a class of complex surfaces defined by letting a finite group G act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group G. A particularly interesting subclass are the ‘strongly real’ Beauville surfaces that have an analogue of complex conjugation defined on them. In this survey we discuss these objects and in particular the groups that may be used to define them. En route we discuss several open problems, questions and conjectures and in places make some progress made on addressing these.
Metadata
| Item Type: | Book Section |
|---|---|
| Additional Information: | Series ISSN: 2194-1009 |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Ben Fairbairn |
| Date Deposited: | 28 Jan 2021 10:02 |
| Last Modified: | 09 Aug 2023 12:45 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/25728 |
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