Commutative Algebra, Singularities and Computer Algebra

by Herzog, Jurgen; Vuletescu, Victor

• ISBN13: 9781402014871
• ISBN10: 1402014872
• Format: Paperback
• Copyright: 2003-11-01
• Publisher: Kluwer Academic Pub

Summary

Commutative Algebra, Singularities and Computer Algebra presents current trends in commutative algebra, algebraic combinatorics, singularity theory and computer algebra, and highlights the interaction between these disciplines. Contributions by leading international mathematicians thoroughly discuss topics in: modules theory, integrally closed ideals and determinantal ideals, singularities in projective spaces and Castelnuovo-Mumford regularity, Groebner and SAGBI basis, and the use of the computer packages Bergman, CoCoA and SINGULAR.

Table of Contents

Association for Flag Configuration

Gr÷bner bases and determinantal ideals

Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations

The Computer Algebra Package Bergman: Current State

Monomialization and ramification of valuations

Hyperplane arrangements, M-tame polynomials and twisted cohomology

A note on the Intersection of Veronese Surfaces

Rank one Maximal Cohen-Macaulay modules over singularities of type Y3 1+ Y32 + Y33 + Y34

Towards a theory of Gorenstein m-primary integrally closed ideals

Universal Gr÷bner bases, integer programming and finite graphs

Torsion in tensor powers and flatness

Basic Tools for Computing in Multigraded Rings

A Problem in Group Theory solved by Computer Algebra

On curves of small degree on a normal rational surface Scroll

On SAGBI Bases and Resultants

Modules of G-dimension zero over local rings with the cube of maximal ideal being zero

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