Foliation Theory in Algebraic Geometry
Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of th
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Paolo Cascini James McKernan Jorge Vitório Pereira Editors
Foliation Theory in Algebraic Geometry
Simons Symposia
Paolo Cascini • James McKernan Jorge Vitório Pereira Editors
Foliation Theory in Algebraic Geometry
123
Editors Paolo Cascini Mathematics Department Imperial College of London London, UK
James Mc Kernan Department of Mathematics UC San Diego La Jolla, CA, USA
Jorge Vitório Pereira IMPA, Rio de Janeiro, Brazil
ISBN 978-3-319-24458-7 DOI 10.1007/978-3-319-24460-0
ISBN 978-3-319-24460-0 (eBook)
Library of Congress Control Number: 2015958676 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 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)
Preface
As part of the celebrations around the opening of the Simons Foundation offices in New York, the editors were invited to organise a conference on a topic of their choice. We chose birational geometry and foliation theory as there has been considerable activity in both areas in the last decade and there has also been increasing interaction between the two subjects. The conference “Foliation theory in algebraic geometry” took place September 3–7, 2013, at the recently opened Simons Foundation’s Gerald D. Fischbach Auditorium. The conference attracted over seventy participants as well as locals from the New York area and was a great success. These are the proceedings of the conference. The talks included both survey talks on recent progress and original research and the articles are a reflection of these topics. The articles in this proceedings should be of interest to people working in birational geometry and foliation theory and anyone wanting to learn about these subjects. The editors would like to thank David Eisenbud for the initial invitation to organise a conference. They would also like to thank the Simons Foundati
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