This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses developments and advances in commutative algebra, algebraic geometry, and combinatorics - highlighting the theory of projective schemes, the geometry of curves, determinantal and stable ideals, and free resolutions.
Geometric And Combinatorial Aspects Of Commutative Algebra
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First Sentence:
The determination of the minimum number of equations needed to define an algebraic variety V set-theoretically or ideal-theoretically is an old and important problem in Algebraic Geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
standard bitableaux, reflexive sheaves, global monomialization, subcanonical curves, colon capturing, defective threefolds, reflexive sheaf, sporadic zero, divisorial sheaf, freeness conjecture, divisorial sheaves, free complete intersection, tight closure theory, autoreduced subsets, flat local homomorphism, noetherian filtration, graded local cohomology, determinantal rings, local cohomology modules, artinian principal ideal ring, filtered union, squarefree monomials, intermediate cohomology, postulation formula, finite colength Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Department of Mathematics, London Math, Cambridge University Press, Springer Verlag, Annals of Math, Compositio Math, Duke Math, Mathematics Subject Classification, Cohen-Macaulay F-rational, Graduate School of Science, Nagoya Math, Osaka University, Cambridge Phil, Geometry of Algebraic Curves, Kyoto Univ, Noetherian Gaussian, Preprint of University of Sevilla, University of Missouri, Van Nostrand New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
The determination of the minimum number of equations needed to define an algebraic variety V set-theoretically or ideal-theoretically is an old and important problem in Algebraic Geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
standard bitableaux, reflexive sheaves, global monomialization, subcanonical curves, colon capturing, defective threefolds, reflexive sheaf, sporadic zero, divisorial sheaf, freeness conjecture, divisorial sheaves, free complete intersection, tight closure theory, autoreduced subsets, flat local homomorphism, noetherian filtration, graded local cohomology, determinantal rings, local cohomology modules, artinian principal ideal ring, filtered union, squarefree monomials, intermediate cohomology, postulation formula, finite colength Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Department of Mathematics, London Math, Cambridge University Press, Springer Verlag, Annals of Math, Compositio Math, Duke Math, Mathematics Subject Classification, Cohen-Macaulay F-rational, Graduate School of Science, Nagoya Math, Osaka University, Cambridge Phil, Geometry of Algebraic Curves, Kyoto Univ, Noetherian Gaussian, Preprint of University of Sevilla, University of Missouri, Van Nostrand New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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29
books
cite this book:
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- Intersection Theory, 2nd Edition by William Fulton on page 209, and page 286
- Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud on page 110, and page 197
- Ring Theory (Lecture notes in pure and applied mathematics ; 40) by Oystaeyen in Front Matter (1), and Front Matter (2)
- Tight Closure and Its Applications (Cbms Regional Conference Series in Mathematics) by Craig Huneke on page 374, and page 376
- Advances in Hopf Algebras (Lecture Notes in Pure and Applied Mathematics) by Jeffrey Bergen in Front Matter
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- Polynomial Identities And Combinatorial Methods (Lecture Notes in Pure and Applied Mathematics) by Antonio Giambruno in Front Matter
- Continuum Theory (Lecture Notes in Pure and Applied Mathematics) by Alejandro Illanes in Front Matter
- Evolution Equations (Lecture Notes in Pure and Applied Mathematics) by Gisele Ruiz Goldstein in Front Matter
- Rings, Modules, Algebras, and Abelian Groups (Lecture Notes in Pure and Applied Mathematics) by Alberto Facchini in Front Matter
- Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects (Lecture Notes in Pure and Applied Mathematics) by Alberto Corso in Front Matter
See all 29 books citing this book
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