Hilbert Functions of Filtered Modules

• Main Authors: Valla, Giuseppe (Author), Rossi, Maria Evelina (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes of the Unione Matematica Italiana, 9
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.; Algebraic Geometry.

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 pione...