Syzygies of the Veronese Modules

DOI10.1080/00927872.2015.1027389zbMath1365.13021arXiv1403.4796OpenAlexW2962840843MaRDI QIDQ2817193

Ivan Martino, Ornella Greco

Publication date: 29 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4796

zbMATH Keywords

Hilbert seriesBetti numberspile simplicial complexVeronese modules

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Combinatorial aspects of commutative algebra (05E40)

Related Items (6)

On the \(n\)-th row of the graded Betti table of an \(n\)-dimensional toric variety ⋮ Equivariant resolutions over Veronese rings ⋮ Cooperative games on simplicial complexes ⋮ Cohen-Macaulay property and linearity of pinched Veronese rings ⋮ Computing graded Betti tables of toric surfaces ⋮ Conjectures and Computations about Veronese Syzygies

Uses Software

• Macaulay2

Cites Work

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• Koszul homology and syzygies of Veronese subalgebras
• Asymptotic syzygies of algebraic varieties
• Linear free resolutions and minimal multiplicity
• The Veronese construction for formal power series and graded algebras
• On graded rings. I
• Semigroup rings and simplicial complexes
• Canonical modules of semigroup rings and a conjecture of Reiner
• Combinatorics and commutative algebra.
• Syzygies of affine toric varieties
• On a class of power ideals
• Higher order relations for a numerical semigroup
• Matching complexes, bounded degree graph complexes, and weight spaces of \(\mathrm{GL}_n\)-complexes

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