Borel degenerations of arithmetically Cohen–Macaulay curves in ℙ3

DOI10.1142/S0218196714500301zbMath1339.14006arXiv1111.2754OpenAlexW3099493549MaRDI QIDQ2923343

Margherita Roggero, Gunnar Fløystad

Publication date: 15 October 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2754

zbMATH Keywords

space curveHilbert schemeBorel-fixed idealACM space curve

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Computational aspects of algebraic curves (14Q05) Cohen-Macaulay modules (13C14)

Related Items (5)

The Gröbner fan of the Hilbert scheme ⋮ The scheme of liftings and applications ⋮ Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial ⋮ Shift modules, strongly stable ideals, and their dualities ⋮ A general framework for Noetherian well ordered polynomial reductions

Cites Work

• A criterion for detecting m-regularity
• Segments and Hilbert schemes of points
• Unnamed Item

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