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arXiv · 0809.2081

Singularities of Affine Schubert Varieties

J. Kuttler·V. Lakshmibai
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Abstract

This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type $\mathrm{A}^{(1)}_\ell$). 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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J. Kuttler, V. Lakshmibai. 2009-04-18. Singularities of Affine Schubert Varieties. https://doi.org/10.3842/sigma.2009.048

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