Betti splitting from a topological point of view

DOI10.1142/S0219498820501169zbMath1443.05186arXiv1704.01105OpenAlexW2949790312WikidataQ114614644 ScholiaQ114614644MaRDI QIDQ3298364

Ulderico Fugacci, Davide Bolognini

Publication date: 14 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01105

zbMATH Keywords

simplicial complexesgraded Betti numberstriangulated manifolds

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Powers of monomial ideals with characteristic-dependent Betti numbers

Uses Software

• Macaulay2
• Simplicial complex library
• GitHub

Cites Work

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• Recursive Betti numbers for Cohen-Macaulay \(d\)-partite clutters arising from posets
• An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
• Splittable ideals and the resolutions of monomial ideals
• Minimal resolutions of some monomial ideals
• Resolutions of Stanley-Reisner rings and Alexander duality
• Vertex-minimal simplicial immersions of the Klein bottle in three space
• Splittings of monomial ideals
• Monomial Ideals

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