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 Advanced Studies in Pure Mathematics 2002; 276 pp; hardcover Volume: 33 ISBN-10: 4-931469-17-5 ISBN-13: 978-4-931469-17-4 List Price: US$86 Member Price: US$68.80 Order Code: ASPM/33 This volume constitutes the proceedings of the International Conference on "Computational Commutative Algebra and Combinatorics" held in Osaka, Japan. It contains excellent survey articles and research papers on various topics related to the theme of the conference. Of particular interest are two survey articles, "Algebraic Shifting" by Gil Kalai and "Generic Initial Ideals and Graded Betti Numbers" by Jürgen Herzog. The volume is suitable for graduate students and research mathematicians interested in discrete mathematics. Volumes in this series are freely available electronically 5 years post-publication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in dicrete mathematics. Table of Contents W. Bruns and J. Gubeladze -- Polyhedral algebras, arrangements of toric varieties, and their groups A. M. Duval -- Algebraic shifting and spectral sequences V. Gasharov, I. Peeva, and V. Welker -- Coordinate subspace arrangements and monomial ideals J. Herzog -- Generic initial ideals and graded Betti numbers G. Kalai -- Algebraic shifting K. Masuda -- Certain moduli of algebraic $$G$$-vector bundles over affine $$G$$-varieties M. Miyanishi -- Completely parametrized $$\mathbf{A}^1_\ast$$-fibrations on the affine plane M. Petkovšek, J. Pommersheim, and I. Swanson -- The Zarankiewicz problem via Chow forms C. Procesi -- Notes on the topology of hyperplane arrangements and braid groups V. Srinivas -- Some geometric methods in commutative algebra