Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties

Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties
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奇偶滑轮、矩图和舒伯特簇的 p 光滑轨迹

DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
G. Williamson
G. Williamson
中科院分区：
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文献类型：
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作者：
P. Fiebig;G. Williamson

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我们表明，系数在一个字段或一个完整的本地环k，Braden-MacPherson算法计算的茎的奇偶层系数在k。由此，我们推出了Braden-MacPherson算法可以用来计算代数群的倾斜模的特征标，并证明了当Bruhat图满足GKM-条件时，（Kac-Moody）Schubert簇的p-光滑轨迹与有理光滑轨迹一致.
We show that, with coefficients in a field or a complete local ring k, the Braden-MacPherson algorithm computes the stalks of parity sheaves with coefficients in k. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the p-smooth locus of (Kac-Moody) Schubert varieties agrees with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.