The structure of the polytope algebra

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概要

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• We construct an isomorphism from McMullen's polytope algebra, onto the quotient of the algebra of continuous, piecewise polynomial functions with integral value at 0, by its ideal generated by coordinate functions. This explains the non-trivial grading of the polytope algebra, by the obvious grading of piecewise polynomial functions. In the process of the proof, we make explicit many connections between convex polytopes and piecewise polynomials.

• 東北大学の論文

著者

• Brion Michel

  Ecole Narmale Superieure

• Brion Michel

  Ecole Normale Superieure De Lyon

関連論文

• Contractions and flips for varieties with group action of small complexity
• The structure of the polytope algebra

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