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- W2980521798 abstract "EnglishIn this work we will study the scheme of n x n matrices with vanishing commutator, which is conjectured to be reduced, Cohen{Macaulay and normal. We will prove that it is regular in codimension 3 but not in codimension 4. We will also bring similar results for other schemes related to our original one. In a second part of the paper, we study the singularities of the scheme of pairs of commuting matrices from the study of the corresponding jet schemes and other singularity invariants such as the log-canonical threshold. catalaEn aquest treball estudiarem l'esquema de parells de matrius n×n amb commutador nul, pel que es conjectura que es reduit, Cohen–Macaulay i normal. Demostrarem que es regular en codimensio 3 pero no en codimensio 4. Tambe aportem resultats similars per a altres esquemes relacionats amb el nostre esquema original. En una segona part del treball estudiem les singularitats de l’esquema de parelles de matrius que commuten a partir de l'estudi dels corresponents esquemes de jets i altres invariants de singularitats com el log-canonical threshold." @default.
- W2980521798 created "2019-10-25" @default.
- W2980521798 creator A5026702482 @default.
- W2980521798 date "2019-05-27" @default.
- W2980521798 modified "2023-09-24" @default.
- W2980521798 title "Scheme of pairs of matrices with vanishing commutator" @default.
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