Geometric and Combinatorial Aspects of Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

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. Booknews Herzog (mathematics, U. of Essen) and Restuccia (algebra, U. of Mesina) present 31 research papers based on lectures delivered at a recent international conference on commutative algebra and algebraic geometry. They provide the latest developments and advances in commutative algebra, algebraic geometry, and combinatorics, highlighting the theory of projective schemes, the geometry of cures in P n, determinantal and stable ideals, and free resolutions. They also address current trends in singularity and tight closure theory, Hilbert functions of squarefree Veronese rings, Gr bner bases as characteristic sets, local monomialization, families of Wronskian correspondences, and other topics. Annotation c. Book News, Inc., Portland, OR (booknews.com) 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.