Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, t
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Participants of the Abel Symposium 2009, Voss, Norway. Photo Credits: David Eisenbud
Gunnar Fløystad r Trygve Johnsen Andreas Leopold Knutsen
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Editors
Combinatorial Aspects of Commutative Algebra and Algebraic Geometry The Abel Symposium 2009
Editors Gunnar Fløystad Andreas Leopold Knutsen University of Bergen Dept. Mathematics Johannes Brunsgate 12 5008 Bergen Norway [email protected] [email protected]
Trygve Johnsen University of Tromsø Dept. Mathematics & Statistics 9037 Tromsø Norway [email protected]
ISBN 978-3-642-19491-7 e-ISBN 978-3-642-19492-4 DOI 10.1007/978-3-642-19492-4 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011928558 Mathematics Subject Classification (2010): 13-06, 14-06 © Springer-Verlag Berlin Heidelberg 2011 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface to the Series
The Niels Henrik Abel Memorial Fund was established by the Norwegian government on January 1. 2002. The main objective is to honor the great Norwegian mathematician Niels Henrik Abel by awarding an international prize for outstanding scientific work in the field of mathematics. The prize shall contribute towards raising the status of mathematics in society and stimulate the interest for science among school children and students. In keeping with this objective the board of the Abel fund has decided to finance one or two Abel Symposia each year. The topic may be selected broadly in the area of pure and applied mathematics. The Symposia should be at the highest international level, and serve to build bridges between the national and international research communities. The Norwegian Mathematical Society is responsible for the events. It has also been decided that the contributions from these Symposia should be presented in a series of proceedings, and Springer Verlag has enthusiastically agreed to publish the series. The board of the Niels Henrik Abel Memorial Fund is confident that the series will be a valuable contribution to the mathematical literature. Ragnar Winther Chairman of
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