Hilbert Functions of Filtered Modules
Hilbert functions play major parts in Algebraic Geometry and Commutative Algebra, and are also becoming increasingly important in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered modu
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Franco Brezzi (Editor in Chief) IMATI-CNR Via Ferrata 5a 27100 Pavia, Italy e-mail: [email protected] John M. Ball Mathematical Institute 24-29 St Giles’ Oxford OX1 3LB United Kingdom e-mail: [email protected] Alberto Bressan Department of Mathematics Penn State University University Park State College PA. 16802, USA e-mail: [email protected] Fabrizio Catanese Mathematisches Institut Universitatstraße 30 95447 Bayreuth, Germany e-mail: [email protected]
Persi Diaconis Department of Statistics Stanford University 450 Serra Mall Stanford, CA 94305-4065, USA e-mail: [email protected], [email protected] Nicola Fusco Dipartimento di Matematica e Applicazioni Universit`a di Napoli “Federico II”, via Cintia Complesso Universitario di Monte S. Angelo 80126 Napoli, Italy e-mail: [email protected] Carlos E. Kenig Department of Mathematics University of Chicago 5734 University Avenue Chicago, IL 60637-1514 USA e-mail: [email protected] Fulvio Ricci Scuola Normale Superiore di Pisa Piazza dei Cavalieri 7 56126 Pisa, Italy e-mail: [email protected]
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The Editorial Policy can be found at the back of the volume.
Maria Evelina Rossi
•
Giuseppe Valla
Hilbert Functions of Filtered Modules
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Prof. Maria Evelina Rossi University of Genoa Department of Mathematics Via Dodecaneso 35 16146 Genova Italy [email protected]
Prof. Giuseppe Valla University of Genoa Department of Mathematics Via Dodecaneso 35 16146 Genova Italy [email protected]
ISSN 1862-9113 ISBN 978-3-642-14239-0 e-ISBN 978-3-642-14240-6 DOI 10.1007/978-3-642-14240-6 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010933510 Mathematics Subject Classification (2000): 13A02, 13A30, 13C14, 13C15, 13H15, 14B99 c Springer-Verlag Berlin Heidelberg 2010 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, tradema
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