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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149156 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Singularities of Affine Schubert Varieties / J. Kuttler, V. Lakshmibai // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 22 назв. — англ. |
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Kuttler, J. Lakshmibai, V. 2019-02-19T17:49:28Z 2019-02-19T17:49:28Z 2009 Singularities of Affine Schubert Varieties / J. Kuttler, V. Lakshmibai // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 14M15; 14L35 https://nasplib.isofts.kiev.ua/handle/123456789/149156 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Singularities of Affine Schubert Varieties Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Singularities of Affine Schubert Varieties |
| spellingShingle |
Singularities of Affine Schubert Varieties Kuttler, J. Lakshmibai, V. |
| title_short |
Singularities of Affine Schubert Varieties |
| title_full |
Singularities of Affine Schubert Varieties |
| title_fullStr |
Singularities of Affine Schubert Varieties |
| title_full_unstemmed |
Singularities of Affine Schubert Varieties |
| title_sort |
singularities of affine schubert varieties |
| author |
Kuttler, J. Lakshmibai, V. |
| author_facet |
Kuttler, J. Lakshmibai, V. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149156 |
| citation_txt |
Singularities of Affine Schubert Varieties / J. Kuttler, V. Lakshmibai // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 22 назв. — англ. |
| work_keys_str_mv |
AT kuttlerj singularitiesofaffineschubertvarieties AT lakshmibaiv singularitiesofaffineschubertvarieties |
| first_indexed |
2025-12-07T18:20:12Z |
| last_indexed |
2025-12-07T18:20:12Z |
| _version_ |
1850874645514813440 |