Singularities of Affine Schubert Varieties

Details Singularities of Affine Schubert Varieties Singularities of Affine Schubert Varieties

2008-09-11

arxiv.org/abs/0809.2081v2

SIGMA 5 (2009), 048, 31 pages

Mathematics

Algebraic Geometry

13 figures

Scientific paper

10.3842/SIGMA.2009.048

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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