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 |  |
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 |
doi | https://doi.org/10.1007/978-3-642-14240-6 |
isbn_softcover | 978-3-642-14239-0 |
isbn_ebook | 978-3-642-14240-6Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
issn_series | 1862-9113 |
copyright | Springer-Verlag Berlin Heidelberg 2010 |