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MR2450335 (2010b:06002) 06A07 (05A05 05B35 14N15)
Oh, Suho; Postnikov, Alexander; Yoo, Hwanchul Bruhat order, smooth Schubert varieties, and hyperplane arrangements. J. Combin. Theory Ser. A 115 (2008), no. 7, 1156–1166.
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