Computational commutative algebra and combinatorics
著者
書誌事項
Computational commutative algebra and combinatorics
（Advanced studies in pure mathematics, 33）
Mathematical Society of Japan, c2002
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注記
Includes bibliographical references
"The 8th Mathematical Society of Japan International Research Institute"Computational Commutative Algebra and Combinatorics" was held in Osaka University, Toyonaka Campus, Osaka, Japan, July 21 - July 30, 1999."-Pref.
内容説明・目次
内容説明
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 Jurgen Herzog. The volume is suitable for graduate students and research mathematicians interested in discrete mathematics.
目次
Polyhedral algebras, arrangements of toric varieties, and their groups by W. Bruns and J. Gubeladze Algebraic shifting and spectral sequences by A. M. Duval Coordinate subspace arrangements and monomial ideals by V. Gasharov, I. Peeva, and V. Welker Generic initial ideals and graded Betti numbers by J. Herzog Algebraic shifting by G. Kalai Certain moduli of algebraic $G$-vector bundles over affine $G$-varieties by K. Masuda Completely parametrized $\mathbf{A}^1_\ast$-fibrations on the affine plane by M. Miyanishi The Zarankiewicz problem via Chow forms by M. Petkovsek, J. Pommersheim, and I. Swanson Notes on the topology of hyperplane arrangements and braid groups by C. Procesi Some geometric methods in commutative algebra by V. Srinivas.
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