Integral Closure Rees Algebras, Multiplicities, Algorithms /

• Main Author: Vasconcelos, Wolmer (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Number theory.; Commutative Rings and Algebras.; Algebraic Geometry.; Number Theory.

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analy...

Table of Contents:

• Numerical Invariants of a Rees Algebra
• Hilbert Functions and Multiplicities
• Depth and Cohomology of Rees Algebras
• Divisors of a Rees Algebra
• Koszul Homology
• Integral Closure of Algebras
• Integral Closure and Normalization of Ideals
• Integral Closure of Modules
• HowTo.