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- W3037334015 abstract "In this paper we study algebraic sets of pairs of matrices defined by the vanishing of either the diagonal of their commutator matrix or its anti-diagonal. We find a system of parameters for the coordinate rings of these two sets and their intersection and show that they are complete intersections. Moreover, we prove that these algebraic sets are $F$-pure over a field of positive prime characteristic and the algebraic set of pairs of matrices with the zero diagonal commutator is $F$-regular." @default.
- W3037334015 created "2020-07-02" @default.
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- W3037334015 date "2020-06-24" @default.
- W3037334015 modified "2023-09-27" @default.
- W3037334015 title "Algebraic sets defined by the commutator matrix" @default.
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