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This article is cited in 2 scientific papers (total in 2 papers)
Singularities of Affine Schubert Varieties
Jochen Kuttlera, Venkatramani Lakshmibaib a Department of Mathematical \& Statistical Sciences, University of Alberta, Edmonton, Canada
b Department of Mathematics, Northeastern University, Boston, USA
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.
Keywords:
Schubert varieties; affine Grassmannian; loop Grassmannian.
Received: September 11, 2008; in final form April 3, 2009; Published online April 18, 2009
Citation:
Jochen Kuttler, Venkatramani Lakshmibai, “Singularities of Affine Schubert Varieties”, SIGMA, 5 (2009), 048, 31 pp.
Linking options:
https://www.mathnet.ru/eng/sigma394 https://www.mathnet.ru/eng/sigma/v5/p48
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