Matroid polytopes, nested sets and Bergman fans.

Feichtner, Eva Maria; Sturmfels, Bernd

Displaying similar documents to “Matroid polytopes, nested sets and Bergman fans.”

Alexander duality in subdivisions of Lawrence polytopes.

Santos, Francisco, Sturmfels, Bernd (2003)

Advances in Geometry

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On the refinements of a polyhedral subdivision.

Francisco Santos (2001)

Collectanea Mathematica

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Let pi: P --> Q be an affine projection map between two polytopes P and Q. Billera and Sturmfels introduced in 1992 the concept of polyhedral subdivisions of Q induced by pi (or pi-induced) and the fiber polytope of the projection: a polytope Sygma(P,pi) of dimension dim(P)-dim(Q) whose faces are in correspondence with the coherent pi-induced subdivisions (or pi-coherent subdivisions). In this paper we investigate the structure of the poset of pi-induced refinements of a pi-induced...

Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes

Duško Jojić (2007)

Publications de l'Institut Mathématique

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Rank $1$ forms, closed zones and laminae

Michel Deza, Viatcheslav Grishukhin (2002)

Journal de théorie des nombres de Bordeaux

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For a given lattice, we establish an equivalence between closed zones for the corresponding Voronoï polytope, suitable hyperplane sections of the corresponding Delaunay partition, and rank $1$ quadratic forms which are extreme rays for the corresponding $L$ -type domain.