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 module over a local ring. Starting from the pione...

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Những tác giả chính: Valla, Giuseppe, 1944-, Rossi, Maria Evelina (Tác giả)
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Phiên bản:1st ed. 2010.
Loạt:Lecture Notes of the Unione Matematica Italiana 9
Truy cập trực tuyến:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Chú thích: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Hilbert Functions of Filtered Modules, Texte imprimé, 9783642142390
• Hilbert Functions of Filtered Modules, Texte imprimé, 9783642142413
• Hilbert Functions of Filtered Modules, Texte imprimé, 9783642142390
• Hilbert Functions of Filtered Modules, Texte imprimé, 9783642142413
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520 |a 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 this theory by using a unifying approach which yields 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 this work. The material is intended for graduate students and researchers who are interested in Commutative Algebra, particularly in the theory of the Hilbert functions and related topics. 
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