Singularities of Affine Schubert Varieties

Abstract

This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type ${\mathrm{A}}_{\ell }^{(1)}$). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent spaces at singular points. For a general affine Schubert variety, we give partial results on the singular locus.

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References in corpus (2)

• Modular representations of reductive groups and geometry of affine Grassmannians
• Affine Schubert Varieties and Circular Complexes