Commutative Algebra -

Commutative Algebra

Geometric, Homological, Combinatorial and Computational Aspects
Buch | Softcover
284 Seiten
2005
Crc Press Inc (Verlag)
978-0-8247-2335-4 (ISBN)
255,60 inkl. MwSt
Features various research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book contains articles presented during two conferences held in Spain and Portugal in June, 2003. It covers topics such as blowup algebras and Koszul homology.
Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles presented during two conferences held in Spain and Portugal in June, 2003. It encompasses a variety of topics, including blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, multiplicities, polarization, and reductions of ideals. This comprehensive volume will stimulate further research in the field.

Alberto Corso, Philippe Gimenez, Maria Vaz Pinto, Santiago Zarzuela

A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem. Liaison of Varieties of Small Dimension and Deficiency Modules. Regularity Jumps for Powers of Ideals. Integral Closure of Ideals and Annihilators of Homology. Poincare Series of Surface Singularities. Multi-Graded Hilbert Coefficients. Torsion Freeness and Normality of Blowup Rings of Monomial Ideals. Monomial Ideals via Square-Free Monomial Ideals. When Does the Equality I2=QI Hold True in Buchsbaum Rings? Integral Closures of Ideals in Completions of Regular Local Domains. The Components of a Variety of Matrices with Square Zero and Submaximal Rank. The Support of Top Graded Local Cohomology Modules. An Approach to the Uniform Artin-Rees Theorems from the Notion of Relation Type. Castelnuovo-Mumford Regularity and Finiteness of Hilbert Functions. Differential Idealizers and Algebraic Free Divisors. Gorenstein Rings Call the Tune. On Free Integral Extensions Generated by One Element. Degeneration of G-Dimension of Modules.

Erscheint lt. Verlag 15.8.2005
Reihe/Serie Lecture Notes in Pure and Applied Mathematics
Verlagsort Bosa Roca
Sprache englisch
Maße 178 x 254 mm
Gewicht 521 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-8247-2335-X / 082472335X
ISBN-13 978-0-8247-2335-4 / 9780824723354
Zustand Neuware
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