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Titlebook: Hilbert Functions of Filtered Modules; Giuseppe Valla,Maria Evelina Rossi Book 2010 Springer-Verlag Berlin Heidelberg 2010 Associated grad

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书目名称Hilbert Functions of Filtered Modules
编辑Giuseppe Valla,Maria Evelina Rossi
视频video
概述There are not similar books on the topic.Hilbert functions are becoming of increasing interest.Numerous examples help the reader.It includes new developments and easier proofs of classical results.Inc
丛书名称Lecture Notes of the Unione Matematica Italiana
图书封面Titlebook: Hilbert Functions of Filtered Modules;  Giuseppe Valla,Maria Evelina Rossi Book 2010 Springer-Verlag Berlin Heidelberg 2010 Associated grad
描述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 fromthe 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 andresearchers who are interested in Commutative Algebra, in particular in the theory of theHilbert Functionsand related topics.
出版日期Book 2010
关键词Associated graded module; Filtration; Hilbert coefficients; Hilbert function; Superficial element; algebr
版次1
doihttps://doi.org/10.1007/978-3-642-14240-6
isbn_softcover978-3-642-14239-0
isbn_ebook978-3-642-14240-6Series ISSN 1862-9113 Series E-ISSN 1862-9121
issn_series 1862-9113
copyrightSpringer-Verlag Berlin Heidelberg 2010
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978-3-642-14239-0Springer-Verlag Berlin Heidelberg 2010
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Hilbert Functions of Filtered Modules978-3-642-14240-6Series ISSN 1862-9113 Series E-ISSN 1862-9121
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