Hilbert Functions of Filtered Modules [electronic resource] / by Giuseppe Valla, Maria Evelina Rossi.
Tipo de material:
TextoSeries Lecture Notes of the Unione Matematica Italiana, 9Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XVIII, 100p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642142406Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Algebra | Geometry, algebraic | Mathematics | Algebra | Commutative Rings and Algebras | Algebraic GeometryFormatos físicos adicionales: Sin títuloClasificación CDD: 512 Clasificación LoC: Libro electrónicoRecursos en línea: de clik aquí para ver el libro electrónico Springer eBooksResumen: 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.
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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