Description 
1 online resource (xviii, 100 pages) 
Series 
Lecture notes of the Unione Matematica Italiana ; 9 

Lecture notes of the Unione Matematica Italiana ; 9.

Contents 
Preliminaries  Bounds for e0(M) and e1(M)  Bounds for e2(M)  Sally's Conjecture and Applications  Applications to the Fiber Cone  Applications to the Sally Module 
Summary 
"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 selfcontained 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."Publisher's website 
Bibliography 
Includes bibliographical references (pages 9397) and index 
Notes 
English 

Print version record 
In 
Springer eBooks 
Subject 
Characteristic functions.


Algebra.


algebra.


MATHEMATICS  Algebra  Intermediate.


Characteristic functions


HilbertFunktion


Filtrierter Modul

Form 
Electronic book

Author 
Valla, Giuseppe, 1944

ISBN 
9783642142406 

3642142400 
