Beauville Surfaces and Groups by Ingrid BauerBeauville Surfaces and Groups by Ingrid Bauer

Beauville Surfaces and Groups

byIngrid BauerEditorShelly Garion, Alina Vdovina

Hardcover | April 23, 2015

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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.

Title:Beauville Surfaces and GroupsFormat:HardcoverDimensions:183 pagesPublished:April 23, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319138618

ISBN - 13:9783319138619


Table of Contents

Nigel Boston(*), University of Wisconsin - A Survey of Beauville p-groups. Fabrizio Catanese and Ingrid Bauer, University of Bayreuth - Weak and strong rigidity in algebraic geometry: old and new examples, e.g. Inoue type manifolds. Shelly Garion, University of Muenster - Beauville surfaces and probabilistic group theory. Gareth Jones(*), University of Southampton - Beauville surfaces: automorphism groups and Galois orbits. Norbert Peyerimhoff(*), Durham University - A promising group for Beauville structures and expander constructions. Ben Fairbairn(*), Birkbeck, University of London - Some strongly real Beauville groups. Matteo Penegini(*), University of Bayreuth - Surfaces isogenous to a product of curves, moduli spaces and finite groups. Roberto Pignatelli(*), University of Trento - Quasi-étale quotients of products of two curves. Francesco Polizzi(*), University of Calabria - Numerical properties of isotrivial fibrations. Chris Parker and Kay Magaard, University of Birmingham Michael Lönne, University of Hannover - Connected components of Hurwitz spaces of curves with automorphisms.