Classification of smooth horizontal Schubert varieties
classification
🧮 math.AG
math.RT
keywords
schubertsmoothclassificationcominusculehorizontalvarietiesclassifieddiagram
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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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