文档介绍：Graduate Texts in Mathematics 227
Editorial Board
S. Axler . Gehring . Ribet
Ezra Miller
Bernd Sturmfels
Combinatorial
Commutative Algebra
With 102 Figures
Ezra Miller Bernd Sturmfels
School of Mathematics Department of Mathematics
University of Minnesota University of California at Berkeley
Minneapolis, MN 55455 Berkeley, CA 94720
USA USA
******@ ******@
Editorial Board
S. Axler . Gehring . Ribet
Mathematics Department Mathematics Department Mathematics Department
San Francisco State East Hall University of California,
University University of Michigan Berkeley
San Francisco, CA 94132 Ann Arbor, MI 48109 Berkeley, CA 94720-3840
USA USA USA
******@ ******@ ******@
Mathematics Subject Classification (2000): 13-01, 05-01
Library of Congress Cataloging-in-Publication Data
A . Catalogue record for this book is available from the Library of Congress.
ISBN 0-387-22356-8 Printed on acid-free paper.
© 2005 Springer Science+Business Media, Inc.
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, Inc., 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, com-
puter software, or by similar or dissimilar methodology now known or hereafter developed is for-
bidden.
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. (EB)
987654321 SPIN 10946190
To Elen and Hyungsook
Preface
The last decade has seen a number of exciting developments at the inter-
section mut