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arXiv · 2204.11331

Deformed graphical zonotopal algebras

Boris Shapiro·Ilya Smirnov·Arkady Vaintrob
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Abstract

We study certain filtered deformations of the external zonotopal algebra of a given graph parametrized by univariate polynomials. We establish some general properties of these algebras, compute their Hilbert series for a number of graphs using Macaulay2, and formulate several conjectures.

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Boris Shapiro, Ilya Smirnov, Arkady Vaintrob. 2022-08-22. Deformed graphical zonotopal algebras. https://arxiv.org/abs/2204.11331

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