Combinatorial construction of toric residues.

Amit Khetan; Ivan Soprounov

Displaying similar documents to “Combinatorial construction of toric residues.”

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.

Sweeping the cd-index and the toric $h$ -vector.

Lee, Carl W. (2011)

The Electronic Journal of Combinatorics [electronic only]

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$h^{*}$ -vectors, Eulerian polynomials and stable polytopes of graphs.

Athanasiadis, Christos A. (2004)

The Electronic Journal of Combinatorics [electronic only]

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Sections of simplices.

Prabhu, Nagabhushana (1999)

International Journal of Mathematics and Mathematical Sciences

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On the monotone upper bound problem.

Pfeifle, Julian, Ziegler, Günter M. (2004)

Experimental Mathematics

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Colouring polytopic partitions in $ℝ^{d}$

Michal Křížek (2002)

Mathematica Bohemica

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We consider face-to-face partitions of bounded polytopes into convex polytopes in $ℝ^{d}$ for arbitrary $d \geq 1$ and examine their colourability. In particular, we prove that the chromatic number of any simplicial partition does not exceed $d + 1$ . Partitions of polyhedra in $ℝ^{3}$ into pentahedra and hexahedra are $5$ - and $6$ -colourable, respectively. We show that the above numbers are attainable, i.e., in general, they cannot be reduced.

Counting $d$ -polytopes with $d + 3$ vertices.

Fusy, Éric (2006)

The Electronic Journal of Combinatorics [electronic only]

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Flag vectors of multiplicial polytopes.

Bayer, Margaret M. (2004)

The Electronic Journal of Combinatorics [electronic only]

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On the computation of Clebsch-Gordan coefficients and the dilation effect.

De Loera, Jesús A., McAllister, Tyrrell B. (2006)

Experimental Mathematics

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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...