Integral Closure

Rees Algebras, Multiplicities, Algorithms
1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-3-642-06492-0
Verlag: Springer

Buch, Englisch, 520 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 803 g

Reihe: Springer Monographs in Mathematics

This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

Zielgruppe

Research

Autoren/Hrsg.

Vasconcelos, Wolmer

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Author's homepage: http://www.math.rutgers.edu/~vasconce/

Vasconcelos is a well-known top expert in commutative algebra. Author of Algorithms and Computation in Mathematics 2. ISBN: 3-540-21311-2.

Via the existence of the ACM series he was won as a Springer author in 1995, being a CUP author before.

This new book is a result of the good collaboration with him on ACM 2.