Geometric Modeling And Algebraic Geometry

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Geometric Modeling and Algebraic Geometry Bert J¨uttler • Ragni Piene Editors Geometric Modeling and Algebraic Geometry 123 Bert J¨uttler Institute of Applied Geometry Johannes Kepler University Altenberger Str. 69 4040 Linz, Austria [email protected] ISBN: 978-3-540-72184-0 Ragni Piene CMA and Department of Mathematics University of Oslo P.O.Box 1053 Blindern 0136 Oslo, Norway [email protected] e-ISBN: 978-3-540-72185-7 Library of Congress Control Number: 2007935446 Mathematics Subject Classification Numbers (2000): 65D17, 68U06, 53A05, 14P05, 14J26 c Springer-Verlag Berlin Heidelberg 2008 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: WMX Design GmbH, Heidelberg Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com Preface The two fields of Geometric Modeling