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• W200029258 abstract "This is a survey of recent progress on Beauville surfaces, concentrating almost entirely on the group-theoretic and combinatorial problems associated with them. A Beauville surface $$mathcal{S}$$ is a complex surface formed from two orientably regular hypermaps of genus at least 2 (viewed as compact Riemann surfaces and hence as algebraic curves), with the same automorphism group G acting freely on their product. The following questions are discussed: Which groups G (called Beauville groups) have this property? What can be said about the automorphism group and the fundamental group of $$mathcal{S}$$ ? Beauville surfaces are defined (as algebraic varieties) over the field $$overline{mathbb{Q}}$$ of algebraic numbers, so how does the absolute Galois group $$mathrm{Gal},overline{mathbb{Q}}/mathbb{Q}$$ act on them?" @default.
• W200029258 created "2016-06-24" @default.
• W200029258 creator A5042295285 @default.
• W200029258 date "2014-01-01" @default.
• W200029258 modified "2023-09-25" @default.
• W200029258 title "Beauville Surfaces and Groups: A Survey" @default.
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• W200029258 doi "https://doi.org/10.1007/978-1-4939-0781-6_11" @default.
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