Beauville Surfaces and Groups

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 incl

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Ingrid Bauer Shelly Garion Alina Vdovina Editors

Beauville Surfaces and Groups

Springer Proceedings in Mathematics & Statistics Volume 123

Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533

Ingrid Bauer Shelly Garion Alina Vdovina •

Editors

Beauville Surfaces and Groups

123

Editors Ingrid Bauer Lehrstuhl Mathematik VIII University of Bayreuth Bayreuth Germany

Alina Vdovina School of Mathematics and Statistics Newcastle University Newcastle-upon-Tyne UK

Shelly Garion Institut für Mathematische Logik und Grundlagenforschung University of Münster Münster Germany

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-13861-9 ISBN 978-3-319-13862-6 (eBook) DOI 10.1007/978-3-319-13862-6 Library of Congress Control Number: 2015933367 Mathematics Subject Classification: 11 Number theory (11E57, 11G32), 14 Algebraic Geometry (14J10, 14J29, 14J50, 14H30, 14L30), 20 Group Theory and Generalizations (20B25, 20D06, 20D15, 20E42, 20F29, 20G40) Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)