Componentwise linearity of projective varieties with almost maximal degree

DOI10.1016/j.jpaa.2021.106672zbMath1465.13011arXiv1905.04826OpenAlexW2944085384MaRDI QIDQ2031597

Sijong Kwak, Trung Cuòng Đoàn

Publication date: 9 June 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04826

zbMATH Keywords

degreereduction numberlinear resolutionBetti tablecomponentwise linear resolution

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05)

Uses Software

• Macaulay2

Cites Work

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• Linear free resolutions and minimal multiplicity
• Componentwise linear ideals with minimal or maximal Betti numbers
• Théoremes de Bertini et applications
• On a theorem of Castelnuovo, and the equations defining space curves
• Non-degenerate curves with maximal Hartshorne-Rao module
• Ideals with stable Betti numbers
• On the componentwise linearity and the minimal free resolution of a tetrahedral curve
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Componentwise linear ideals
• Monomial Ideals
• The reduction number and degree bound of projective subschemes
• Criteria for Componentwise Linearity
• Computing the Castelnuovo-Mumford regularity of some subschemes of \(\mathbb{P}_K^n\) using quotients of monomial ideals