TY  - BOOK
AU  - Valla,Giuseppe
AU  - Rossi,Maria Evelina
ED  - SpringerLink (Online service)
TI  - Hilbert Functions of Filtered Modules
T2  - Lecture Notes of the Unione Matematica Italiana,
SN  - 9783642142406
AV  - QA150-272 
U1  - 512 23
PY  - 2010///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Algebra
KW  - Geometry, algebraic
KW  - Commutative Rings and Algebras
KW  - Algebraic Geometry
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14240-6
ER  -