9783642142390: Hilbert Functions of Filtered Modules
Couverture souple
ISBN 10 : 3642142397 ISBN 13 : 9783642142390
Editeur : Springer, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
3642142397
ISBN 13 
9783642142390
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
Allemagne

Autres éditions populaires du même titre

9783642142413: Hilbert Functions of Filtered Modules

Edition présentée

ISBN 10 :  3642142419 ISBN 13 :  9783642142413
Editeur : Springer, 2010
Couverture souple