Let P be a parabolic subgroup in G = SL_n(k), for k an algebraically closed field. We show that there is a G-stable closed subvariety of an affine Schubert variety in an affine partial flag variety which is a natural compactification of the cotangent bundle T^*G/P. Restricting this identification to the conormal variety N^*X(w) of a Schubert divisor X(w) in G/P, we show that there is a compactification of N^*X(w) as an affine Schubert variety. It follows that N^*X(w) is normal, Cohen–Macaulay, and Frobenius split.

中文翻译：

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舒伯特除数的部分标志变数和等角变数的余弦束

令P为G = SL _n（k）的抛物子群，其中k为代数封闭场。我们表明，在仿射部分标记品种中存在仿射Schubert品种的G稳定封闭子品种，这是切向束T ^* G / P的自然压缩。将此识别限制为G / P中舒伯特除数X（w）的同态N ^* X（w），我们表明N的压缩^* X（w）作为仿射舒伯特变种。因此，N ^* X（w）是正态的，Cohen–Macaulay和Frobenius分裂。