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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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canonical element conjecture, monomial conjecture, integrally closed ideal, conormal module, standard graded algebra, maximal embedding dimension, regular local domain, facet ideal, local cohomology modules, linear quotients, maximal valid, simplicial trees, monomial ideal, free divisor, excellent ring, finite projective dimension, associated graded ring, canonical module, noetherian local ring, parameter ideal, integral closure, associated primes, maximal minors, blowup algebras, positive depth Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Department of Mathematics, Cambridge University Press, Manuscripta Math, Cambridge Philos, London Math, Marcel Dekker, Introduction Let, Pure Appl, Proof of Claim, Advanced Mathematics, Cambridge Studies, Italia E-mail, Japan E-mail, Lecture Note Series, Université Paris, Compositio Math, Duke Math, Genova Via Dodecaneso, Institut de Mathématiques, Nagoya Math, Reine Angew, University of Kansas New!
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canonical element conjecture, monomial conjecture, integrally closed ideal, conormal module, standard graded algebra, maximal embedding dimension, regular local domain, facet ideal, local cohomology modules, linear quotients, maximal valid, simplicial trees, monomial ideal, free divisor, excellent ring, finite projective dimension, associated graded ring, canonical module, noetherian local ring, parameter ideal, integral closure, associated primes, maximal minors, blowup algebras, positive depth Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Department of Mathematics, Cambridge University Press, Manuscripta Math, Cambridge Philos, London Math, Marcel Dekker, Introduction Let, Pure Appl, Proof of Claim, Advanced Mathematics, Cambridge Studies, Italia E-mail, Japan E-mail, Lecture Note Series, Université Paris, Compositio Math, Duke Math, Genova Via Dodecaneso, Institut de Mathématiques, Nagoya Math, Reine Angew, University of Kansas New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 54
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42
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- Cohen-Macaulay Rings (Cambridge Studies in Advanced Mathematics) by Winfried Bruns on 4 pages
- Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics) by M. P. Brodmann on page 174, and page 208
- Commutative Ring Theory (Cambridge Studies in Advanced Mathematics) by H. Matsumura on page 150, and page 190
- Local Rings (Tracts in Pure & Applied Mathematics) by M. Nagata on page 150, and page 190
- Computational Methods in Commutative Algebra and Algebraic Geometry (Algorithms and Computation in Mathematics) by Wolmer Vasconcelos on page 84, and page 191
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- Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) by Wolmer Vasconcelos in Back Matter (1), and Back Matter (2)
- Monomial Algebras (Chapman & Hall/CRC Pure and Applied Mathematics) by Rafael Villarreal in Back Matter
- A Tribute to C.S. Seshadri: A Collection of Articles on Geometry and Representation Theory (Trends in Mathematics) by Venkatrama Lakshmibai in Back Matter
- Markov Chains and Invariant Probabilities (Progress in Mathematics) by Onésimo Hernández-Lerma in Back Matter
- Geodesic Flows (Progress in Mathematics) by Gabriel P. Paternain in Back Matter
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