文档介绍：Geometric Methods
in Algebra and
Number Theory
Fedor Bogomolov
Yuri Tschinkel
Editors
Birkhauser¨
Boston • Basel • Berlin
Fedor Bogomolov Yuri Tschinkel
New York University Princeton University
Department of Mathematics Department of Mathematics
Courant Institute of Mathematical Sciences Princeton, NJ 08544
New York, NY 10012 .
.
AMS Subject Classifications: 11G18, 11G35, 11G50, 11F85, 14G05, 14G20, 14G35, 14G40, 14L30,
14M15, 14M17, 20G05, 20G35
Library of Congress Cataloging-in-Publication Data
Geometric methods in algebra and number theory / Fedor Bogomolov, Yuri Tschinkel, editors.
p. cm. –(Progress in mathematics ; v. 235)
Includes bibliographical references.
ISBN 0-8176-4349-4 (acid-free paper)
1. Algebra. 2. Geometry, Algebraic. 3. Number theory. I. Bogomolov, Fedor, 1946- II.
Tschinkel, Yuri. III. Progress in mathematics (Boston, Mass.); v. 235.
2004
512–dc22 2004059470
ISBN 0-8176-4349-4 Printed on acid-free paper.
c 2005 Birkhauser¨ Boston
All rights reserved. This work may not be translated or copied in whole or in part without the writ-
ten permission of the publisher (Springer Science+Business Media Inc., Rights and Permissions, 233
Spring Street, New York, NY 10013, USA), 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 de-
veloped is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.
Printed in the United States of America. (HP)
987654321 SPIN 10987025
Preface
The transparency and power of geometric constructions has been a source of
inspiration for generations of mathematicians. Their a