On the componentwise linearity and the minimal free resolution of a tetrahedral curve

DOI10.1016/j.jalgebra.2005.11.001zbMath1108.13013arXivmath/0503278OpenAlexW2086610318MaRDI QIDQ2497421

Uwe Nagel, Christopher A. Francisco, Juan C. Migliore

Publication date: 4 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503278

zbMATH Keywords

minimal free resolutiongeneric initial idealminimal curveliaison classes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Projective and free modules and ideals in commutative rings (13C10) Syzygies, resolutions, complexes and commutative rings (13D02) Curves in algebraic geometry (14H99)

Related Items (9)

Matroid configurations and symbolic powers of their ideals ⋮ Monomial ideals with primary components given by powers of monomial prime ideals ⋮ Betti numbers of symmetric shifted ideals ⋮ Tetrahedral curves via graphs and Alexander duality ⋮ Inductively computable unions of fat linear subspaces ⋮ Some Families of Componentwise Linear Monomial Ideals ⋮ Componentwise linearity of projective varieties with almost maximal degree ⋮ Minimal free resolutions of some configurations of fat lines ⋮ Criteria for Componentwise Linearity

Uses Software

• Macaulay2

Cites Work

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• A criterion for detecting m-regularity
• Classification of maximal rank curves in the liaison class \(L_ n\)
• Introduction to liaison theory and deficiency modules
• Resolutions of Stanley-Reisner rings and Alexander duality
• A generalized liaison addition
• Ideals with stable Betti numbers
• Componentwise linear ideals and Golod rings
• Resolutions of \textbf{a}-stable ideals.
• Resolutions of small sets of fat points
• The information encoded in initial ideals
• Componentwise linear ideals

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