Edge ideals and DG algebra resolutions

zbMath1355.13013arXiv1504.01450MaRDI QIDQ5265513

Alessio D'Alì, Jonathan Montaño, Eloísa Grifo, Adam Boocher, Alessio Sammartano

Publication date: 28 July 2015

Full work available at URL: https://arxiv.org/abs/1504.01450

zbMATH Keywords

Poincaré seriesKoszul homologyHilbert seriesKoszul algebraedge idealminimal modelpaths and cyclesdeviationsacyclic closureDG algebra resolution

Mathematics Subject Classification ID

Paths and cycles (05C38) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (7)

Koszul homology of quotients by edge ideals ⋮ Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals ⋮ DETECTING KOSZULNESS AND RELATED HOMOLOGICAL PROPERTIES FROM THE ALGEBRA STRUCTURE OF KOSZUL HOMOLOGY ⋮ The Koszul homology algebra of the second Veronese is generated by the lowest strand ⋮ Linear resolutions over Koszul complexes and Koszul homology algebras ⋮ On the growth of deviations ⋮ A survey on the Koszul homology algebra

Uses Software

• Macaulay2

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