Deformed graphical zonotopal algebras

Published 24 Apr 2022 in math.CO and math.AC | (2204.11331v2)

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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