Deformed graphical zonotopal algebras

Autor: Shapiro, Boris, Smirnov, Ilya, Vaintrob, Arkady
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 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
Databáze: arXiv