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Singularities of Affine Schubert Varieties
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Singularities of Affine Schubert Varieties
Інший ID:
2000 Mathematics Subject Classification: 14M15; 14L35
Посилання:
Singularities of Affine Schubert Varieties / J. Kuttler, V. Lakshmibai // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 22 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. The first author was supported by the Swiss National Science Foundation, and partially by an NSERC Discovery Grant. The second author was supported by NSF grant DMS-0652386 and Northeastern University RSDF 07–08. The first author would like to thank the Swiss National Science Foundation for making possible his stay at Northeastern University, during which most of this work has been done. We would like to thank the referees for their careful reading and their many valuable suggestions.
Дата:
2009
Переглядів:
364
Завантажень:
209
Анотація:
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.
