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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 048, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.048 (Mi sigma394) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2009.048
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
Bibliographic databases:
Document Type: Article
MSC: 14M15; 14L35
Language: English
Citation: Jochen Kuttler, Venkatramani Lakshmibai, “Singularities of Affine Schubert Varieties”, SIGMA, 5 (2009), 048, 31 pp.
Citation in format AMSBIB
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\by Jochen Kuttler, Venkatramani Lakshmibai
\paper Singularities of Affine Schubert Varieties
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\papernumber 048
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