Singular Loci of Schubert Varieties:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2000
|
| Series: | Progress in Mathematics
182 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | "Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties – namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography, index, and tables – the latter not to be found elsewhere in the mathematics literature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students |
| Physical Description: | 1 Online-Ressource (XII, 251 p) |
| ISBN: | 9781461213246 9781461270942 |
| DOI: | 10.1007/978-1-4612-1324-6 |
Staff View
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461213246 9781461270942 |
| language | English |
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| spelling | Billey, Sara Verfasser aut Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (XII, 251 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 182 "Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties – namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography, index, and tables – the latter not to be found elsewhere in the mathematics literature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd rswk-swf Schubert-Mannigfaltigkeit (DE-588)4512043-2 s Singularität Mathematik (DE-588)4077459-4 s 1\p DE-604 Lakshmibai, V. Sonstige oth https://doi.org/10.1007/978-1-4612-1324-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Billey, Sara Singular Loci of Schubert Varieties Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4512043-2 |
| title | Singular Loci of Schubert Varieties |
| title_auth | Singular Loci of Schubert Varieties |
| title_exact_search | Singular Loci of Schubert Varieties |
| title_full | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
| title_fullStr | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
| title_full_unstemmed | Singular Loci of Schubert Varieties by Sara Billey, V. Lakshmibai |
| title_short | Singular Loci of Schubert Varieties |
| title_sort | singular loci of schubert varieties |
| topic | Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd |
| topic_facet | Mathematics Geometry, algebraic Topological Groups Combinatorics Global differential geometry Algebraic Geometry Topological Groups, Lie Groups Differential Geometry Mathematik Singularität Mathematik Schubert-Mannigfaltigkeit |
| url | https://doi.org/10.1007/978-1-4612-1324-6 |
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