TY - BOOK ID - 7765465 TI - Hilbert Functions of Filtered Modules AU - Rossi, Maria Evelina. AU - Valla, Giuseppe. PY - 2010 SN - 3642142397 9786612927980 3642142400 1282927981 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Characteristic functions. KW - Distribution (Probability theory). KW - Filtered modules. KW - Filtered modules KW - Characteristic functions KW - Mathematics KW - Physical Sciences & Mathematics KW - Algebra KW - Characteristic formula of an ideal KW - Characteristic Hilbert functions KW - Functions, Characteristic KW - Functions, Hilbert KW - Hilbert characteristic functions KW - Hilbert functions KW - Hilbert's characteristic functions KW - Hilbert's functions KW - Postulation formula KW - Mathematics. KW - Algebra. KW - Algebraic geometry. KW - Commutative algebra. KW - Commutative rings. KW - Commutative Rings and Algebras. KW - Algebraic Geometry. KW - Rings (Algebra) KW - Algebraic geometry KW - Geometry KW - Mathematical analysis KW - Math KW - Science KW - Modules (Algebra) KW - Probabilities KW - Geometry, algebraic. UR - https://www.unicat.be/uniCat?func=search&query=sysid:7765465 AB - 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. ER -