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＜電子ブック＞
Hilbert Functions of Filtered Modules / by Maria Evelina Rossi, Giuseppe Valla
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 9)

版	1st ed. 2010.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2010
大きさ	XVIII, 100 p : online resource
著者標目	*Rossi, Maria Evelina author Valla, Giuseppe author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic geometry FREE:Algebra FREE:Commutative Rings and Algebras FREE:Algebraic Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-14240-6

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