Jet schemes of the commuting matrix pairs scheme

DOI10.1090/S0002-9939-09-10029-1zbMath1185.14046arXiv0902.3467MaRDI QIDQ3648154

Klemen Šivic, B. A. Sethuraman

Publication date: 24 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3467

zbMATH Keywords

jet schemecommuting matrix pair

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Special varieties (14M99)

Related Items (6)

On varieties of commuting triples. II. ⋮ Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix ⋮ The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix ⋮ Some thoughts on Gerstenhaber's theorem ⋮ JET SCHEMES OF QUASI-ORDINARY SURFACE SINGULARITIES ⋮ On jet schemes of Pfaffian ideals

Cites Work

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• Initial complex associated to a jet scheme of a determinantal variety
• Commuting pairs in the centralizers of 2-regular matrices
• Two-generated commutative subalgebras of \(M_ n(F)\)
• Determinantal varieties over truncated polynomial rings
• Arc structure of singularities
• On dominance and varieties of commuting matrices
• A Gröbner basis for the \(2\times 2\) determinantal ideal mod \(t^2\)
• Pairs of Matrices With Property L. II
• A note on commuting pairs of matrices
• Singularities of pairs via jet schemes
• The Jet Scheme of a Monomial Scheme
• Jet schemes of locally complete intersection canonical singularities.

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