On the geometry of toric arrangements

By C. Concini, C. Procesi. 2005

95 citations recorded by the source corpus.

AbstractMotivated by the counting formulas of integral polytopes, as in Brion and Vergne, and Szenes and Vergne, we start to form the foundations of a theory for toric arrangements, which may be considered as the periodic version of the theory of hyperplane arrangements.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f7500524f11f8ef2796aa30c368bc8071559e768

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In Algebra and Number Theory

1. Luca Moci
2. Michele D’Adderio
3. Alex Fink

In Discrete Mathematics and Combinatorics

1. Luca Moci
2. Michele D’Adderio
3. Alex Fink

In Geometry and Topology

1. Michele D’Adderio
2. Luca Moci

Citations in the corpus

• Arithmetic matroids, the Tutte polynomial and toric arrangements (2011, background): “In this description the poset C(X) plays a major role, analogous to that of the intersection poset for hyperplane arrangements (see [8], [24])”