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@misc{AB14,
	Author = {Abe, H. and Billey, S. C.},
	Date-Modified = {2017-03-30 03:02:54 +0000},
	Eprint = {1403.4345},
	Eprinttype = {arxiv},
	Note = {To appear in {\it Adv. Studies of Pure Math.}},
	Title = {Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry},
	Year = {2014}}

@inproceedings{OY10,
	Author = {Oh, S. and Yoo, H.},
	Booktitle = {22nd International Conference on Formal Power Series and Algebraic Combinatorics},
	Date-Modified = {2017-03-30 03:08:54 +0000},
	Pages = {965--972},
	Publisher = {DMTCS Proceedings},
	Title = {Bruhat order, rationally smooth {S}chubert varieties, and hyperplane arrangements},
	Url = {https://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0173.1.html},
	Year = {2010},
	Bdsk-Url-1 = {https://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0173.1.html}}

@article{LS90,
	Author = {Lakshmibai, V. and Sandhya, B.},
	Date-Modified = {2017-03-30 03:05:31 +0000},
	Doi = {10.1007/bf02881113},
	Fjournal = {Indian Academy of Sciences. Proceedings. Mathematical Sciences},
	Journal = {Proc. Indian Acad. Sci. Math. Sci.},
	Pages = {45--52},
	Title = {Criterion for smoothness of {S}chubert varieties in {${\rm Sl}(n)/B$}},
	Volume = {100},
	Year = {1990},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/bf02881113}}

@article{BP05,
	Author = {Billey, S. C. and Postnikov, A.},
	Date-Modified = {2017-03-30 03:04:18 +0000},
	Doi = {10.1016/j.aam.2004.08.003},
	Fjournal = {Advances in Applied Mathematics},
	Journal = {Adv. in Appl. Math.},
	Pages = {447--466},
	Title = {Smoothness of {S}chubert varieties via patterns in root subsystems},
	Volume = {34},
	Year = {2005},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aam.2004.08.003}}

@article{Ry87,
	Author = {Ryan, K. M.},
	Date-Modified = {2017-03-30 03:09:55 +0000},
	Doi = {10.1007/BF01450738},
	Journal = {Math. Ann.},
	Pages = {205--224},
	Title = {On {S}chubert varieties in the flag manifold of {${\rm Sl}(n,\mathbb{C})$}},
	Volume = {276},
	Year = {1987},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01450738}}

@article{Wo89,
	Author = {Wolper, J. S.},
	Date-Modified = {2017-03-30 03:10:12 +0000},
	Doi = {10.1016/0001-8708(89)90048-0},
	Journal = {Adv. Math.},
	Pages = {184--193},
	Title = {A combinatorial approach to the singularities of {S}chubert varieties},
	Volume = {76},
	Year = {1989},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0001-8708(89)90048-0}}

@article{RS14,
	Author = {Richmond, E. and Slofstra, W.},
	Date-Modified = {2017-03-30 03:09:37 +0000},
	Doi = {10.1007/s00208-015-1299-4},
	Journal = {Math. Ann.},
	Pages = {31--55},
	Title = {Billey-{P}ostnikov decompositions and the fibre bundle structure of {S}chubert varieties},
	Volume = {366},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00208-015-1299-4}}