Quantitative Arithmetic of Projective Varieties
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		    Series Editors H. Bass J. Oesterlé A. Weinstein
 
 Timothy D. Browning
 
 Quantitative Arithmetic of Projective Varieties
 
 Birkhäuser Basel · Boston · Berlin
 
 Author: Timothy D. Browning School of Mathematics University of Bristol Bristol BS8 1TW United Kingdom e-mail: [email protected]
 
 2000 Mathematics Subject Classification: 11D45, 11G35, 11D72, 11E76, 11P55, 14G05, 14G10, 14G25 Library of Congress Control Number: 2009934090 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de
 
 ISBN 978-3-0346-0128-3 Birkhäuser Verlag AG, Basel · Boston · Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2009 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-0346-0128-3
 
 e-ISBN 978-3-0346-0129-0
 
 987654321
 
 www.birkhauser.ch
 
 Ferran Sunyer i Balaguer (1912–1967) was a selftaught Catalan mathematician who, in spite of a serious physical disability, was very active in research in classical mathematical analysis, an area in which he acquired international recognition. His heirs created the Fundaci´ o Ferran Sunyer i Balaguer inside the Institut d’Estudis Catalans to honor the memory of Ferran Sunyer i Balaguer and to promote mathematical research. Each year, the Fundaci´ o Ferran Sunyer i Balaguer and the Institut d’Estudis Catalans award an international research prize for a mathematical monograph of expository nature. The prize-winning monographs are published in this series. Details about the prize and the Fundaci´ o Ferran Sunyer i Balaguer can be found at http://www.crm.es/FSBPrize/ffsb.htm This book has been awarded the Ferran Sunyer i Balaguer 2009 prize. The members of the scientific commitee of the 2009 prize were: Hyman Bass University of Michigan N´ uria Fagella Universitat de Barcelona Joan Verdera Universitat Aut` onoma de Barcelona Alan Weinstein University of California at Berkeley
 
 Ferran Sunyer i Balaguer Prize winners since 1998: 1999
 
 Patrick Dehornoy Braids and Self-Distributivity, PM 192
 
 2000
 
 Juan-Pablo Ortega and Tudor Ratiu Hamiltonian Singular Reduction, PM 222
 
 2001
 
 Martin Golubitsky and Ian Stewart The Symmetry Perspective, PM 200
 
 2002
 
 Andr´e Unterberger Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi, PM 209 Alexander Lubotzky and Dan Segal Subgroup Growth, PM 212
 
 2003
 
 Fuensanta Andreu-Vaillo, Vincent Caselles and Jos´e M. Maz´ on Parabolic Quasilinear Equations Minimizing Linear Growth Functionals, PM 223
 
 2004
 
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