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- W2951051231 abstract "We show that every smooth Schubert variety of affine type $tilde{A}$ is an iterated fibre bundle of Grassmannians, extending an analogous result by Ryan and Wolper for Schubert varieties of finite type $A$. As a consequence, we finish a conjecture of Billey-Crites that a Schubert variety in affine type $tilde{A}$ is smooth if and only if the corresponding affine permutation avoids the patterns $4231$ and $3412$. Using this iterated fibre bundle structure, we compute the generating function for the number of smooth Schubert varieties of affine type $tilde{A}$." @default.
- W2951051231 created "2019-06-27" @default.
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- W2951051231 date "2017-02-08" @default.
- W2951051231 modified "2023-09-27" @default.
- W2951051231 title "Smooth Schubert varieties in the affine flag variety of type $tilde{A}$" @default.
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