Computational Commutative Algebra and Combinatorics

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Takayuki Hibi
Mathematical Society of Japan, 2002 - Mathematics - 276 pages
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.

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Contents

Winfried BRUNS and Joseph GUBELADZE Polyhedral Algebras
1
DUVAL Algebraic Shifting and Spectral Sequences
53
Jürgen HERZOG Generic Initial Ideals and Graded Betti Num
75
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