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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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,…”
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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…”
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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…”
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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…”
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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…”
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