Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra Sinaia, Romania 17-22 September 2002

by Jïrgen Herzog (Editor), Victor Vuletescu (Editor)

Overview

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.

Product Details

ISBN-13:	9781402014871
Publisher:	Springer Netherlands
Publication date:	10/31/2003
Series:	NATO Science Series II: Mathematics, Physics and Chemistry , #115
Edition description:	2003
Pages:	273
Product dimensions:	6.30(w) x 9.45(h) x 0.02(d)

Table of Contents

Association for Flag Configurations.- Gröbner 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 Y13 + Y23 + Y33 + Y43.- Towards a theory of Gorenstcin m-primary integrally closed ideals.- Universal Grobner 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.