Jay Schweig

activity

20062024

most citedGeneralizing the Borel property

7 citations · 24 across the 13 of their papers we have counts for

collaborators

Showing math.ACShow all

10 papers · 1 filter

math.AC2020

Computing generalized Frobenius powers of monomial ideals

Christopher A. Francisco, Matthew Mastroeni, Jeffrey Mermin +1

Generalized Frobenius powers of an ideal were introduced in work of Hernández, Teixeira, and Witt as characteristic-dependent analogs of test ideals. However, little is known about…

math.AC2018

Asymptotic resurgence via integral closures

Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +1

Given an ideal in a polynomial ring, we show that the asymptotic resurgence studied by Guardo, Harbourne, and Van Tuyl can be computed using integral closures. As a consequence, th…

math.AC2017

The Rees algebra of a two-Borel ideal is Koszul

Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +2

Let $M$ and $N$ be two monomials of the same degree, and let $I$ be the smallest Borel ideal containing $M$ and $N$ . We show that the toric ring of $I$ is Koszul by constructing a…

math.AC2017

The Type Defect of a Simplicial Complex

Hailong Dao, Jay Schweig

Fix a field $k$ . When $Δ$ is a simplicial complex on $n$ vertices with Stanley-Reisner ideal $I_{Δ}$ , we define and study an invariant called the $type defect$ of $Δ$ . Excep…

math.AC2016

Free and Non-free Multiplicities on the $A_{3}$ Arrangement

Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +1

We give a complete classification of free and non-free multiplicities on the $A_{3}$ braid arrangement. Namely, we show that all free multiplicities on $A_{3}$ fall into two families t…

math.AC2013★ 5 cited

Bounding the Projective Dimension of a Square-Free Monomial Ideal via Domination in Clutters