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
2003
ISBN: 978-1-4020-1487-1
Verlag: Springer Netherlands

Buch, Englisch, Band 115, 273 Seiten, Paperback, Format (B × H): 156 mm x 234 mm, Gewicht: 436 g

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

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.

Zielgruppe

Research

Autoren/Hrsg.

Vuletescu, Victor

Herzog, Jürgen

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik EDV | Informatik Informatik

Inhaltsverzeichnis

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.