Jerry L. Bona
Eric M. Friedlander (Chair)
Nigel D. Higson
J. T. Stafford
2000 Mathematics Subject Classification. Primary 14G22; Secondary 11F85, 14F30.
The 2007 Arizona Winter School was supported by NSF grant DMS-0602287.
The first author was supported by NSF grant DMS-0600027.
The second author was partially supported by NSF grant DMS-0600919.
The third author was partially supported by NSF grant DMS-0653023.
The fourth author was supported by NSF CAREER grant DMS-0545904,
and a Sloan Research Fellowship.
The fifth author was supported by NSF grant DMS-0245410.
For additional information and updates on this book, visit
Library of Congress Cataloging-in-Publication Data
Arizona Winter School (2007 : University of Arizona)
p-adic geometry : lectures from the 2007 Arizona Winter School / Matthew Baker. . . [et al.] ;
edited by David Savitt, Dinesh S. Thakur.
p. cm. — (University lecture series ; v. 45)
Includes bibliographical references.
ISBN 978-0-8218-4468-7 (alk. paper)
1. Arithmetical algebraic geometry–Congresses. 2. p-adic analysis–Congresses 3. Geome-
try, Algebraic–Congresses I. Baker, Matthew, 1973– II. Savitt, David. III. Thakur, Dinesh S.
516.3 5–dc22 2008023597
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy a chapter for use
in teaching or research. Permission is granted to quote brief passages from this publication in
reviews, provided the customary acknowledgment of the source is given.
Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society. Requests for such
permission should be addressed to the Acquisitions Department, American Mathematical Society,
201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can also be made by
e-mail to email@example.com.
c 2008 by the American Mathematical Society. All rights reserved.
The American Mathematical Society retains all rights
except those granted to the United States Government.
Printed in the United States of America.
∞ The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
Visit the AMS home page at http://www.ams.org/
10 9 8 7 6 5 4 3 2 1 13 12 11 10 09 08