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Strict Bott-Samelson desingularization conjecture for Schubert varieties
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Strict Bott-Samelson desingularization conjecture. If $w\ngeq v$ for every $v\in\Gamma_n$ , then $X^w$ can be desingularized using a sequence of strict Bott-Samelson resolutions.
openbott-samelson-resolutions desingularization schubert-varieties
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Strict Bott-Samelson desingularization conjecture for Schubert varieties