Beauville Surfaces, Moduli Spaces and Finite Groups

DOI10.1080/00927872.2012.758265zbMath1311.14040arXiv1107.5534OpenAlexW2073104049MaRDI QIDQ5412062

Matteo Penegini, Shelly Garion

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5534

zbMATH Keywords

finite groupsmoduli spacessurfaces of general typeBeauville surfaces

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Simple groups: alternating groups and groups of Lie type (20D06) Riemann surfaces (30F99)

Related Items (10)

Ramification structures for quotients of multi-EGS groups ⋮ Non-homeomorphic Galois conjugate Beauville structures on \(\mathrm{PSL}(2,p)\). ⋮ On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type ⋮ New examples of Beauville surfaces ⋮ On Zariski multiplets of branch curves from surfaces isogenous to a product ⋮ Beauville surfaces and finite groups ⋮ On ramification structures for finite nilpotent groups ⋮ Products of conjugacy classes and fixed point spaces ⋮ Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups ⋮ Ramification structures for quotients of the Grigorchuk groups

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• Simple groups admit Beauville structures
• Fibred surfaces, varieties isogenous to a product and related moduli spaces
• Beauville Surfaces with Abelian Beauville Group

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