2024
DOI: 10.46787/pump.v7i0.3921
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Symmetry of f-Vectors of Toric Arrangements in General Position and Some Applications

Diana Bergerová

Abstract: A toric hyperplane is the preimage of a point in a circle of a continuous surjective group homomorphism from the n-torus to the circle. A toric hyperplane arrangement is a finite collection of such hyperplanes. In this paper, we study the combinatorial properties of toric hyperplane arrangements on n-tori which are spanning and in general position. Specifically, we describe the symmetry of f-vectors arising in such arrangements and a few applications of the result to count configurations of hyperplanes.

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