Classes of cut ideals and their Betti numbers

DOI10.1007/s40863-022-00325-9zbMath1520.13019arXiv2112.04239WikidataQ121631136 ScholiaQ121631136MaRDI QIDQ6171836

Tim Römer, Masoomeh Rahimbeigi, Jürgen Herzog

Publication date: 18 July 2023

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04239

zbMATH Keywords

number of generatorspowers of idealsCohen-Macaulay typeBetti numbersmonomial idealscut sets

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Theory of modules and ideals in commutative rings (13C99)

Related Items (3)

Freiman Borel-type ideals ⋮ Behaviour of the normalized depth function ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings

Cites Work

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• On sumsets and convex hull
• The relevance of Freiman's theorem for combinatorial commutative algebra
• Gorenstein cut polytopes
• Monomial Cut Ideals
• Monomial Ideals
• Reducibility among Combinatorial Problems
• Geometry of cuts and metrics

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