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- W2098044710 abstract "This paper deals with singularities of closures of $2$-nilpotent Borel conjugacy classes in either a $text{GL}_n$-conjugacy class or in the nilpotent cone of $text{GL}_n$. In the latter case we construct a resolution of singularities, in the former we show that singularities are rational by applying a result of M. Brion. We reason why this generalizes the result of N. Perrin and E. Smirnov on the rationality of singularities of Springer fiber components in the two-column case. In the case of Borel orbit closures being contained in orbital varieties, we give an alternative version of L. Fresse's recent singularity criterion." @default.
- W2098044710 created "2016-06-24" @default.
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- W2098044710 date "2013-11-11" @default.
- W2098044710 modified "2023-09-27" @default.
- W2098044710 title "On singularities in B-orbit closures of 2-nilpotent matrices" @default.
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