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
Equivariant Hilbert and Ehrhart series under translative group actions
Alessio D'Alì, Emanuele Delucchi
We study representations of finite groups on Stanley--Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions a…
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…