Deformed graphical zonotopal algebras
Combinatorics
2022-08-23 v2 Commutative Algebra
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.
Cite
@article{arxiv.2204.11331,
title = {Deformed graphical zonotopal algebras},
author = {Boris Shapiro and Ilya Smirnov and Arkady Vaintrob},
journal= {arXiv preprint arXiv:2204.11331},
year = {2022}
}
Comments
23 pages, 12 pictures. The new version fixes some minor mistakes including a new formulation of Conjecture 5.1 proven in a recent preprint arXiv: 2207.10605. The title is changed to better reflect the content of the paper