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- W3175261385 abstract "Mehta and van der Kallen put a Frobenius splitting on the type A cotangent bundle T∗GLn/B, thereby defining a stratification by compatibly split subvarieties, and they determined a few of the elements of this stratification. We embed T∗GLn/B as a stratum in a larger stratified (and Frobenius split) space GLn/B × Matn whose stratification we determine, thereby giving a full description of the one of Mehta–van der Kallen. The main technique is to endow GLn/B × Matn with a Bruhat atlas, covering it with open sets that are stratified-isomorphic to Bruhat cells (in GL2n/B2n). Among the consequences are that each stratum closure is normal and Cohen–Macaulay." @default.
- W3175261385 created "2021-07-05" @default.
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- W3175261385 date "2022-10-26" @default.
- W3175261385 modified "2023-09-27" @default.
- W3175261385 title "A Bruhat Atlas for the Mehta–van der Kallen Stratification of T∗GLn/B" @default.
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- W3175261385 doi "https://doi.org/10.1007/s00031-022-09773-1" @default.
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