Beauville Surfaces and Groups

  • Ingrid Bauer
  • Shelly Garion
  • Alina Vdovina

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

Table of contents

About these proceedings

Introduction

This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces.

Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and, after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject.

These proceedings reflect the topics of the lectures presented during the workshop ‘Beauville Surfaces and Groups 2012’, held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces.

Keywords

Beauville Structures Beauville Surfaces Finite Simple Groups P-Groups Ramification Structures Regular Surfaces Isogenous to a Higher Product of Curves Surfaces of General Type

Editors and affiliations

  • Ingrid Bauer
    • 1
  • Shelly Garion
    • 2
  • Alina Vdovina
    • 3
  1. 1.Lehrstuhl Mathematik VIIIUniversity of BayreuthBayreuthGermany
  2. 2.Institut für Mathematische Logik und GruUniversity of MünsterMünsterGermany
  3. 3.School of Mathematics and StatisticsNewcastle UniversityNewcastle-upon-TyneUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-13862-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-13861-9
  • Online ISBN 978-3-319-13862-6
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • About this book