We investigate families of minimal rational curves on Schubert varieties, their Bott–Samelson desingularizations, and their generalizations constructed by Nicolas Perrin in the minuscule case. In particular, we describe the minimal families on small resolutions of minuscule Schubert varieties.

中文翻译：

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广义Bott–Samelson品种的最小有理曲线

我们研究了有关Schubert变种的最小有理曲线族，其Bott-Samelson奇异化以及由Nicolas Perrin在小情况下构造的推广。特别是，我们描述了小型Schubert品种的小分辨率上的最小家族。