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Erschienen in:
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2016 | OriginalPaper | Buchkapitel

More on Strongly Real Beauville Groups

verfasst von : Ben Fairbairn

Erschienen in: Symmetries in Graphs, Maps, and Polytopes

Verlag: Springer International Publishing

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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.

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Vorheriges Kapitel Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects
Nächstes Kapitel On Pentagonal Geometries with Block Size 3, 4 or 5
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Metadaten
Titel
More on Strongly Real Beauville Groups
verfasst von
Ben Fairbairn
Copyright-Jahr
2016
Buch
Symmetries in Graphs, Maps, and Polytopes

Print ISBN: 978-3-319-30449-6

Electronic ISBN: 978-3-319-30451-9

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-30451-9_6