Birational Geometry of Foliations
The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification
- PDF / 2,090,423 Bytes
- 140 Pages / 439.42 x 683.15 pts Page_size
- 35 Downloads / 210 Views
Marco Brunella
Birational Geometry of Foliations Instituto de Matemática Pura e Aplicada
IMPA Monographs Volume 1
This series, jointly established by IMPA and Springer, publishes advanced monographs giving authoritative accounts of current research in any field of mathematics, with emphasis on those fields that are closer to the areas currently supported at IMPA. The series gives well-written presentations of the “state-of-the-art” in fields of mathematical research and pointers to future directions of research.
Series Editors Emanuel Carneiro, Instituto de Matemática Pura e Aplicada Severino Collier, Universidade Federal do Rio de Janeiro Claudio Landim, Instituto de Matemática Pura e Aplicada Paulo Sad, Instituto de Matemática Pura e Aplicada
More information about this series at http://www.springer.com/series/13501
Marco Brunella
Birational Geometry of Foliations
123
Marco Brunella Institut de Mathématiques de Bourgogne UMR 5584 - CNRS Université de Bourgogne Dijon, France
IMPA Monographs ISBN 978-3-319-14309-5 ISBN 978-3-319-14310-1 (eBook) DOI 10.1007/978-3-319-14310-1 Library of Congress Control Number: 2014122930 Mathematics Subject Classification (2010): 37F75, 34M45, 32J25, 32C35, 14E30, 14J10 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)
Preface
This text was originally written as a lecture note for a course given at the First Latin American Congress of Mathematicians, held at IMPA in August 2000. It is now reprinted with no changes, but some new related results appeared in the last 3 years. First of all, the Hilbert Modular Conjecture appearing at the end of the book, and completing the classification of foliations with Kodaira dimension 1, has been completely proved. One essential ingredient is the plurisu
Data Loading...
