Surfaces isogenous to a product of curves, braid groups and mapping class groups

2013/11/22 by Matteo Penegini, Penegini, Matteo
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1311.5671

To appear in the Proceedings of the Conference "Beauville Surfaces and Groups", Newcastle University (UK), 7-9th June 2012, 15 pages

arxiv created 2013/11/22 · openalex publication_date 2013/11/22 · arxiv updated 2013/11/25 · openalex created_date 2022/08/20 · openalex updated_date 2026/07/28

Abstract

This article is a revised version of the talk I gave at the conference ``Beauville Surfaces and groups'' held in Newcastle in June 2012. It presents some group theoretical methods to give bounds on the number of connected components of the moduli space of surfaces of general type, focusing on some families of regular surfaces isogenous to a product of curves.

Citations

• Die Gruppe der Abbildungsklassen: Das arithmetische Feld auf Flächen

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