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Hilbert Functions of Filtered Modules
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Hilbert Functions of Filtered Modules

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ISBN-13:
9783642142406
Einband:
eBook
Seiten:
100
Autor:
Maria Evelina Rossi
Serie:
9, Lecture Notes of the Unione Matematica Italiana
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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 certain graded algebras which are not associated to a filtration.
Preliminaries.- Bounds for and
Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also 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 place many new developments of this theory by using a unifying approach which gives self-contained and easier proofs.
The extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration are two of the main features of the monograph.
The material is intended for graduate students and researchers who are interested in Commutative Algebra, in particular in the theory of the Hilbert Functions and related topics.