On the regularity of the monomial point of a border basis scheme

DOI10.1007/s13366-019-00482-7zbMath1451.13081OpenAlexW3000501371WikidataQ126399281 ScholiaQ126399281MaRDI QIDQ784766

Martin Kreuzer, Bilge Sipal, Le Ngoc Long

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-019-00482-7

zbMATH Keywords

regularity criterionorder idealborder basiscotangent spaceborder basis schememonomial point

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Computational aspects in algebraic geometry (14Q99)

Related Items (1)

Cotangent spaces and separating re-embeddings

Uses Software

• ApCoCoA

Cites Work

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• The geometry of border bases
• Some syzygies of the generators of the ideal of a border basis scheme
• A description of certain affine open subschemes that form an open covering of \(\text{Hilb}^n_{\mathbb{A}^2_k}\).
• Deformations of border bases
• On border basis and Gröbner basis schemes
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• Characterizations of border bases
• Connectedness of Hilbert scheme
• Numerical Polynomial Algebra

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