A combinatorial description of finite O-sequences and ACM genera

DOI10.1016/j.jsc.2015.03.006zbMath1323.13001arXiv1402.5361OpenAlexW2964260170MaRDI QIDQ491249

Paolo Lella, Maria Grazia Marinari, Francesca Cioffi

Publication date: 24 August 2015

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5361

zbMATH Keywords

directed graphpartial orderACM genusCohen-Macaulay curvefinite O-sequence

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Computational aspects of algebraic curves (14Q05) Cohen-Macaulay modules (13C14) Directed graphs (digraphs), tournaments (05C20) Curves in algebraic geometry (14H99)

Cites Work

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• Liaison and Cohen-Macaulayness conditions
• Introduction to liaison theory and deficiency modules
• Non-degenerate curves with maximal Hartshorne-Rao module
• On the coefficients of the Hilbert polynomial
• Connectedness of Hilbert scheme
• Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial
• Deformation Theory

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