Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups

DOI10.1007/978-3-319-13862-6_9zbMath1320.14055arXiv1311.5671OpenAlexW1498143135MaRDI QIDQ5255938

Matteo Penegini

Publication date: 22 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5671

zbMATH Keywords

finite groupsmoduli spacesmapping class groupssurfaces of general typesurfaces isogenous to a product of curves

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Surfaces of general type (14J29) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items

Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ Shimura curves in the Prym loci of ramified double covers ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type ⋮ Topological types of actions on curves ⋮ On the bielliptic and bihyperelliptic loci ⋮ On Zariski multiplets of branch curves from surfaces isogenous to a product ⋮ Shimura curves in the Prym locus

Cites Work

• New Beauville surfaces and finite simple groups
• Irreducibility of the space of dihedral covers of the projective line of a given numerical type
• The classification of isotrivially fibred surfaces with \(p_{g} = q = 2\)
• The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves
• Moduli spaces of surfaces and real structures
• Fuchsian groups, finite simple groups and representation varieties.
• Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.
• Chebycheff and Belyi polynomials, dessins dénfants, Beauville surfaces and group theory
• Iterated double covers and connected components of moduli spaces
• MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES
• Differentiable and deformation type of algebraic surfaces, real and symplectic structures
• On Surfaces of General Type withp_g = q = 1 Isogenous to a Product of Curves
• Fibred surfaces, varieties isogenous to a product and related moduli spaces
• Beauville Surfaces with Abelian Beauville Group
• Beauville Surfaces, Moduli Spaces and Finite Groups
• Mapping class groups and their relationship to braid groups
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item