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arXiv · 1605.09003

Classification of smooth horizontal Schubert varieties

Matt Kerr·Colleen Robles
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Abstract

We show that the smooth horizontal Schubert subvarieties of a rational homogeneous variety $G/P$ are homogeneously embedded cominuscule $G'/P'$, and are classified by subdiagrams of a Dynkin diagram. This generalizes the classification of smooth Schubert varieties in cominuscule $G/P$.

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Matt Kerr, Colleen Robles. 2016-05-29. Classification of smooth horizontal Schubert varieties. https://arxiv.org/abs/1605.09003

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