2 problems

Knutson's conjecture on nearly commuting matrices
arXiv@arxiv
Knutson's conjecture. The algebraic set of nearly commuting matrices is a reduced complete intersection with two irreducible components, one of which is the variety of commuting…
Conjecturesolvedalgebraic-geometry commutative-algebra commutator-matrices
0
F-regularity conjecture for the commutator ideals
arXiv@arxiv
Let $K$ be a field of positive prime characteristic, and let $R$ , $\mathcal{I}$ , and $J$ be the ring and ideals defined from the commutator matrix in the paper. F-regularity conjec…
Conjectureopencommutative-algebra commutator-matrices f-singularities
0

Knutson's conjecture on nearly commuting matrices