Progress in Mathematics
Volume 226
Series Editors
Hyman Bass
Joseph Oesterle
Alan Weinstein
Arithmetic of Higher-Dimensional
Algebraic Varieties
Bjorn Poonen
Yuri Tschinkel
Editors
Springer Science+Business Media, LLC
Bjom Poonen Yuri Tschinkel
Department of Mathematics Mathematisches Institut
University of California, Berkeley Bunsenstr. 3-5
Berkeley, CA 94720 D-37073 Gottingen
. Germany
Library of Congress Cataloging-in-Publication Data
A CW catalogue record for this book is available from the Library of Congress,
Washington ., USA.
AMS Subject Classifications: 11045, 11D72, llF72, 11G35, llG50, 11Y50, 14D72, 14E30, 14G05,
14G25
ISBN 978-1-4612-6471-2 ISBN 978-0-8176-8170-8 (eBook) Printed on acid-free paper.
DOI -0-8176-8170-8
***@2004 Springer Science+Business Media New York
Originally published by Birkhauser Boston in 2004
Softcover reprint ofthe hardcover lst edition 2004
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher Springer Science+Business Media, LLC except for brief excerpts in
connection with reviews or scholarly analysis.
Use in connection with any form of information storage and retrieval, electronic adaptation, computer
software, or by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use of this publication of trade names, trademarks, service marks and similar terms, even if they are
not identified as such, is not 10 be taken as an expression of opinion as 10 whether or not they are subject
10 property rights.
987654321 SPIN 10936412
CONTENTS
Abstracts X l
Introduction xv
Part I. E xpository Articles
SIR P ET ER SWIN NERTON- DvER - Diophantine equations: progress and
problems 3
1. Introduction 3
2. The Hasse Principle and the Brauer- Manin obstruction 6
3. Zeta functions and L-series 12
4. Curves 15
5. Generalities about surfac
(Progress in Mathematics 226) Sir Peter Swinnerton-Dyer (auth.), Bj枚rn Poonen, Yuri Tschinkel (eds.)-Arithmetic of Higher-Dimensional Algebraic Varieties-Birkh盲user Boston (2004) 来自淘豆网m.daumloan.com转载请标明出处.
