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    Strongly Real Beauville Groups III

    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: School of Business, Economics & Informatics > BEI
    School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Ben Fairbairn
    Date Deposited: 28 Jan 2021 10:02
    Last Modified: 10 Jun 2021 12:01
    URI: https://eprints.bbk.ac.uk/id/eprint/25728

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