Singularities of Affine Schubert Varieties

Singularities of Affine Schubert Varieties

This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type Al(1)). 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 Schu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.048
1. Verfasser: Kuttler, Jochen
Format: Artikel
Sprache:eng
Schlagworte:
affine Grassmannian
loop Grassmannian
Schubert varieties
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type Al(1)). 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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2009.048