Automorphisms in Birational and Affine Geometry Levico Terme, Italy,

The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection

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Ivan Cheltsov Ciro Ciliberto Hubert Flenner James McKernan Yuri G. Prokhorov Mikhail Zaidenberg Editors

Automorphisms in Birational and Affine Geometry Levico Terme, Italy, October 2012

Springer Proceedings in Mathematics & Statistics Volume 79

For further volumes: http://www.springer.com/series/10533

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 OR 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.

Ivan Cheltsov • Ciro Ciliberto • Hubert Flenner • James McKernan • Yuri G. Prokhorov • Mikhail Zaidenberg Editors

Automorphisms in Birational and Affine Geometry Levico Terme, Italy, October 2012

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Editors Ivan Cheltsov School of Mathematics University of Edinburgh Edinburgh, United Kingdom

Ciro Ciliberto Department of Mathematics University of Rome Tor Vergata Rome, Italy

Hubert Flenner Faculty of Mathematics Ruhr University Bochum Bochum, Germany

James McKernan Department of Mathematics University of California San Diego La Jolla, California, USA

Yuri G. Prokhorov Steklov Mathematical Institute Russian Academy of Sciences Moscow, Russia

Mikhail Zaidenberg Institut Fourier de Mathématiques Université Grenoble I Grenoble, France

ISSN 2194-1009 ISSN 2194-1017 (electronic) ISBN 978-3-319-05680-7 ISBN 978-3-319-05681-4 (eBook) DOI 10.1007/978-3-319-05681-4 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014941702 Mathematics Subject Classification (2010): 14L30, 14E07, 14R20, 14R10, 32M17 © Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through