A Gröbner basis for the \(2\times 2\) determinantal ideal mod \(t^2\)

DOI10.1016/j.jalgebra.2004.12.005zbMath1105.13009OpenAlexW2078917870MaRDI QIDQ2576199

B. A. Sethuraman, Tomasž Košir

Publication date: 22 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.12.005

zbMATH Keywords

determinantal ideals and varieties

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (max. 100)

Jet graphs ⋮ Computing with jets ⋮ Initial complex associated to a jet scheme of a determinantal variety ⋮ Jet schemes of the commuting matrix pairs scheme ⋮ Arcs on determinantal varieties ⋮ A Gröbner basis for the \(2\times 2\) determinantal ideal mod \(t^2\)

Uses Software

• SINGULAR

Cites Work

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• The irreducibility of ladder determinantal varieties
• Determinantal rings
• Commuting pairs in the centralizers of 2-regular matrices
• Determinantal varieties over truncated polynomial rings
• Gröbner bases and Stanley decompositions of determinantal ideals
• A Gröbner basis for the \(2\times 2\) determinantal ideal mod \(t^2\)
• Ideals of generic minors

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