Jonathan L. O'Rourke

activity

20182020

most citedLocal Cohomology and Degree Complexes of Monomial Ideals

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AC2020

Density of $f$ -ideals and $f$ -ideals in mixed small degrees

Huy TÀi HÀ, Graham Keiper, Hasan Mahmood +1

A squarefree monomial ideal is called an $f$ -ideal if its Stanley-Reisner and facet simplicial complexes have the same $f$ -vector. We show that $f$ -ideals generated in a fixed degr…

math.AC2019★ 1 cited

Local Cohomology and Degree Complexes of Monomial Ideals

Jonathan L. O'Rourke

This paper examines the dimension of the graded local cohomology $H_{m}^{p} (S / K^{s})_{γ}$ and $H_{m}^{p} (S / K^{(s)})$ for a monomial ideal $K$ . This information is encoded…

math.AC2018

Symbolic powers of edge ideals of graphs

Yan Gu, Huy Tai Ha, Jonathan L. O'Rourke +1

Let $G$ be a graph and let $I = I (G)$ be its edge ideal. When $G$ is unicyclic, we give a decomposition of symbolic powers of $I$ in terms of its ordinary powers. This allows us to…

Density of f-ideals and f-ideals in mixed small degrees

Local Cohomology and Degree Complexes of Monomial Ideals

Symbolic powers of edge ideals of graphs

Density of $f$ -ideals and $f$ -ideals in mixed small degrees