Density of $f$-ideals and $f$-ideals in mixed small degrees
Commutative Algebra
2020-11-09 v1
Abstract
A squarefree monomial ideal is called an -ideal if its Stanley-Reisner and facet simplicial complexes have the same -vector. We show that -ideals generated in a fixed degree have asymptotic density zero when the number of variables goes to infinity. We also provide novel algorithms to construct -ideals generated in small degrees.
Keywords
Cite
@article{arxiv.2011.03067,
title = {Density of $f$-ideals and $f$-ideals in mixed small degrees},
author = {Huy TÀi HÀ and Graham Keiper and Hasan Mahmood and Jonathan L. O'Rourke},
journal= {arXiv preprint arXiv:2011.03067},
year = {2020}
}