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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2009 Volume 5, 048, 31 pp. (Mi sigma394)

This article is cited 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.

MSC: 14M15; 14L35

Received: September 11, 2008; in final form April 3, 2009; Published online April 18, 2009

Language: English

DOI: 10.3842/SIGMA.2009.048



Bibliographic databases:
ArXiv: 0809.2081


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