Alessio D'Alì

collaborators

3 papers

math.AC2025

On strongly Koszul algebras and tidy Gröbner bases

Alessio D'Alì

Strongly Koszul algebras were introduced by Herzog, Hibi and Restuccia in 2000. The goal of the present paper is to provide an in-depth study of such algebras and to investigate ho…

math.CO2025

Order polytopes of graded posets are gamma-effective

Alessio D'Alì, Akihiro Higashitani

Order polytopes of posets have been a very rich topic at the crossroads between combinatorics and discrete geometry since their definition by Stanley in 1986. Among other notable r…

math.AC2015

Edge ideals and DG algebra resolutions

Adam Boocher, Alessio D'Alì, Eloísa Grifo +2

Let $R = S / I$ where $S = k [T_{1}, \dots, T_{n}]$ and $I$ is a homogeneous ideal in $S$ . The acyclic closure $R ⟨ Y ⟩$ of $k$ over $R$ is a DG algebra resolution obtained by…