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

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Beauville Surfaces and Groups

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 123))

Abstract

We present 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.

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Acknowledgments

The author is grateful to G. Bini for reading and commenting the paper. Moreover the author thanks the organizers of the conference Beauville surfaces and Groups N. Barker, I. Bauer, S. Garion and A. Vdovina for the invitation and the kind hospitality.

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Authors and Affiliations

  1. Matteo Penegini, Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milano, Italy

    Matteo Penegini

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  1. Matteo Penegini
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Correspondence to Matteo Penegini .

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Editors and Affiliations

  1. Lehrstuhl Mathematik VIII, University of Bayreuth, Bayreuth, Germany

    Ingrid Bauer

  2. Institut für Mathematische Logik und Gru, University of Münster, Münster, Germany

    Shelly Garion

  3. School of Mathematics and Statistics, Newcastle University, Newcastle-upon-Tyne, United Kingdom

    Alina Vdovina

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Penegini, M. (2015). Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups. In: Bauer, I., Garion, S., Vdovina, A. (eds) Beauville Surfaces and Groups. Springer Proceedings in Mathematics & Statistics, vol 123. Springer, Cham. https://doi.org/10.1007/978-3-319-13862-6_9

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