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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| Datum: | 2009 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.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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irk-123456789-1491562019-02-20T01:27:19Z Singularities of Affine Schubert Varieties Kuttler, J. Lakshmibai, V. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149156 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kuttler, J. Lakshmibai, V. |
| spellingShingle |
Kuttler, J. Lakshmibai, V. Singularities of Affine Schubert Varieties Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kuttler, J. Lakshmibai, V. |
| author_sort |
Kuttler, J. |
| title |
Singularities of Affine Schubert Varieties |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kuttlerj singularitiesofaffineschubertvarieties AT lakshmibaiv singularitiesofaffineschubertvarieties |
| first_indexed |
2025-07-12T21:32:07Z |
| last_indexed |
2025-07-12T21:32:07Z |
| _version_ |
1837478369998929920 |