Higher cohomology of the tangent bundle of the Bott-Samelson-Demazure-Hansen resolution of the longest Schubert variety in PSO(2n+1,C) vanishes if and only if the Coxeter element satisfies a2 != n-1.
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Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \mathbb{C})$
Higher cohomology of the tangent bundle of the Bott-Samelson-Demazure-Hansen resolution of the longest Schubert variety in PSO(2n+1,C) vanishes if and only if the Coxeter element satisfies a2 != n-1.