Search Results - "D'Alì, Alessio"

Many Faces of Symmetric Edge Polytopes by D'Alì, Alessio, Delucchi, Emanuele, Michałek, Mateusz

“…Symmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In the present paper we highlight their connections to the…”
Get full text

The Koszul property for spaces of quadrics of codimension three by D'Alì, Alessio

“…In this paper we prove that, if k is an algebraically closed field of characteristic different from 2, almost all quadratic standard graded k-algebras R such…”
Get full text

Koszul Gorenstein Algebras From Cohen–Macaulay Simplicial Complexes by D’Alì, Alessio, Venturello, Lorenzo

“…Abstract We associate with every pure flag simplicial complex $\Delta $ a standard graded Gorenstein $\mathbb {F}$-algebra $R_{\Delta }$ whose homological…”
Get full text

The Geometry of Gaussoids by Boege, Tobias, D’Alì, Alessio, Kahle, Thomas, Sturmfels, Bernd

“…A gaussoid is a combinatorial structure that encodes independence in probability and statistics, just like matroids encode independence in linear algebra. The…”
Get full text

On a Generalization of Symmetric Edge Polytopes to Regular Matroids by D’Alì, Alessio, Juhnke-Kubitzke, Martina, Koch, Melissa

“…Starting from any finite simple graph, one can build a reflexive polytope known as a symmetric edge polytope. The first goal of this paper is to show that…”
Get full text

Graded algebras with cyclotomic Hilbert series by Borzì, Alessio, D'Alì, Alessio

“…Let R be a positively graded algebra over a field k. We say that R is Hilbert-cyclotomic if the numerator of its reduced Hilbert series has all of its roots on…”
Get full text

Stanley–Reisner rings for symmetric simplicial complexes, $G$-semimatroids and Abelian arrangements by D’Alì, Alessio, Delucchi, Emanuele

“…We extend the notion of face rings of simplicial complexes and simplicial posets to the case of finite-length (possibly infinite) simplicial posets with a…”
Get full text

Resolutions of letterplace ideals of posets by D’Alì, Alessio, Fløystad, Gunnar, Nematbakhsh, Amin

“…We investigate resolutions of letterplace ideals of posets. We develop topological results to compute their multigraded Betti numbers, and to give structural…”
Get full text

On the growth of deviations by Adam Boocher, Alessio D'Alì, Eloísa Grifo, Jonathan Montaño, Alessio Sammartano

“…The deviations of a graded algebra are a sequence of integers that determine the Poincaré series of its residue field and arise as the number of generators of…”
Get full text

Edge ideals and DG algebra resolutions by Adam Boocher, Alessio D'Alì, Eloisa Grifo, Jonathan Montano, Alessio Sammartano

“…Let R = S/I where S = k[T_1, . . . , T_n] and I is a homogeneous ideal in S. The acyclic closure R of k over R is a DG algebra resolution obtained by means of…”
Get full text

Equivariant Hilbert and Ehrhart series under translative group actions by D'Alì, Alessio, Delucchi, Emanuele

“…We study the equivariant Hilbert series of the complex Stanley-Reisner ring of a simplicial complex $\Sigma$ under the action of a finite group via simplicial…”
Get full text

Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes by D'Alì, Alessio, Venturello, Lorenzo

“…International Mathematics Research Notices 2023 (2023), no. 6, pp. 4998-5045 We associate with every pure flag simplicial complex $\Delta$ a standard graded…”
Get full text

On a generalization of symmetric edge polytopes to regular matroids by D'Alì, Alessio, Juhnke-Kubitzke, Martina, Koch, Melissa

“…Starting from any finite simple graph, one can build a reflexive polytope known as a symmetric edge polytope. The first goal of this paper is to show that…”
Get full text

Graded algebras with cyclotomic Hilbert series by Borzì, Alessio, D'Alì, Alessio

“…Journal of Pure and Applied Algebra 225 (2021), no. 12, 106764, 9 pp Let $R$ be a positively graded algebra over a field. We say that $R$ is Hilbert-cyclotomic…”
Get full text

Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements by D'Alì, Alessio, Delucchi, Emanuele

“…Journal of Combinatorial Algebra 5 (2021), pp. 185-236 We extend the notion of face rings of simplicial complexes and simplicial posets to the case of…”
Get full text

The Koszul property for spaces of quadrics of codimension three by D'Alì, Alessio

“…Journal of Algebra 490 (2017), pp. 256-282 In this paper we prove that, if $\mathbb{k}$ is an algebraically closed field of characteristic different from 2,…”
Get full text

Toric ideals associated with gap-free graphs by D'Alì, Alessio

“…Journal of Pure and Applied Algebra 219 (2015), pp. 3862-3872 In this article we prove that every toric ideal associated with a gap-free graph $G$ has a…”
Get full text

On the gamma-vector of symmetric edge polytopes by D'Alì, Alessio, Juhnke-Kubitzke, Martina, Köhne, Daniel, Venturello, Lorenzo

“…SIAM Journal on Discrete Mathematics 37 (2023), no. 2, pp. 487-515 We study $\gamma$-vectors associated with $h^*$-vectors of symmetric edge polytopes both…”
Get full text

Many faces of symmetric edge polytopes by D'Alì, Alessio, Delucchi, Emanuele, Michałek, Mateusz

“…Electronic Journal of Combinatorics 29 (2022), P3.24, 42 pp Symmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In…”
Get full text

Resolutions of co-letterplace ideals and generalizations of Bier spheres by D'Alì, Alessio, Fløystad, Gunnar, Nematbakhsh, Amin

“…Transactions of the American Mathematical Society 371 (2019), pp. 8733-8753 We give the resolutions of co-letterplace ideals of posets in a completely…”
Get full text