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Hilbert functions of filtered modules

Author: Maria Evelina Rossi; Giuseppe Valla
Publisher: Heidelberg ; New York : Springer, ©2010.
Series: Lecture notes of the Unione Matematica Italiana, 9.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 module over a local ring. Starting from the pioneering work of D.G. Northcott and J. Sally, we aim to gather together in one book a broad range of new developments in  Read more...
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Document Type: Book
All Authors / Contributors: Maria Evelina Rossi; Giuseppe Valla
ISBN: 9783642142390 3642142397 9783642142406 3642142400
OCLC Number: 646114239
Description: xviii, 100 pages ; 24 cm.
Contents: Preliminaries --
Bounds for e0(M) and e1(M) --
Bounds for e2(M) --
Sally's Conjecture and Applications --
Applications to the Fiber Cone --
Applications to the Sally Module.
Series Title: Lecture notes of the Unione Matematica Italiana, 9.
Responsibility: Maria Evelina Rossi, Giuseppe Valla.

Abstract:

Starting from the pioneering work of D.G. Northcott and J. Sally, this volume presents new developments of Hilbert Functions in one cohesive reference. The text applies the theory to the study of  Read more...

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From the reviews:"This book's first aim is to gather together in one place many new developments of the theory of Hilbert functions by using a unifying approach of filtrations of submodules. In this Read more...

 
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