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 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.

Full Product Details

Author:   Jürgen Herzog ,  Victor Vuletescu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   115
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.290kg
ISBN:  

9781402014864

ISBN 10:   1402014864
Pages:   273
Publication Date:   31 October 2003
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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.

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