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Discrete and computational geometry; Japanese Conference, JCDCG 2004, Tokyo, Japan, October 8-11, 2004

This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2004, held in Tokyo, Japan in October 2004, to honor Janos Pach on his fiftieth year. The 20 revised full papers presented were carefully selected during two rounds of reviewing and improvement from over 60 talks at the conference. All current issues in discrete algorithmic geometry are addressed.

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Combinatorial geometry and graph theory ; Indonesia-Japan Joint Conference, IJCCGGT 2003, Bandung, Indonesia, September 13-16, 2003, Revised Selected Papers

This volume consists of the refereed papers presented at the Indonesia-JapanJoint Conference on Combinatorial Geometry and Graph Theory (IJCCGGT2003), held on Indonesia. This confer-ence can also be considered as a series of the Japan Conference on Discrete andComputational Geometry (JCDCG), 2002.

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Linear Algebraic Monoids

The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.

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