Commutative Algebra, Singularities and Computer Algebra: Proceedings of the NATO Advanced Research Workshop on Commutative Algebra, Singularities and

ISBN-13: 9781402014871 / Angielski / Miękka / 2003 / 273 str.

Victor Vuletescu; Jurgen Herzog; J]rgen Herzog

Opis

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.

Spis treści

Association for Flag Configuration; C. Borcea. Gröbner bases and determinantal ideals; W. Bruns, A. Conca. Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations; M. Chardin. The Computer Algebra Package Bergman: Current State; J. Backelin, S. Cojocaru, V. Ufnarovski. Monomialization and ramification of valuations; S.D. Cutkosky. Hyperplane arrangements, M-tame polynomials and twisted cohomology; A. Dimca. A note on the Intersection of Veronese Surfaces; D. Eisenbud, K. Hulek, S. Popescu. Rank one Maximal Cohen-Macaulay modules over singularities of type Y3 1+ Y32 + Y33 + Y34; V. Ene, D. Popescu. Towards a theory of Gorenstein m-primary integrally closed ideals; S. Goto, F. Hayasaka, S. Kasuga. Universal Gröbner bases, integer programming and finite graphs; H. Ohsugi, T. Kitamura, T. Hibil. Torsion in tensor powers and flatness; C. Ionescu. Basic Tools for Computing in Multigraded Rings; M. Kreuzer, L. Robbiano. A Problem in Group Theory solved by Computer Algebra; G. Pfister. On curves of small degree on a normal rational surface Scroll; P. Schenzel. On SAGBI Bases and Resultants; A. Torstensson, V. Ufnarovski, H. Öfverbeck. Modules of G-dimension zero over local rings with the cube of maximal ideal being zero; Y. Yoshino.