Rigid Schubert classes in partial flag varieties
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929565693116416 |
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| author | Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung |
| author_facet | Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung |
| contents | A Schubert class is called rigid if it can only be represented by Schubert varieties. The rigid Schubert classes have been classified in Grassmannians and orthogonal Grassmannians. In this paper, we study the rigidity problem in partial flag varieties (type A) and orthogonal partial flag varieties (type B and type D). In particular, we give numerical conditions that ensure a Schubert class is rigid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid Schubert classes in partial flag varieties Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung Algebraic Geometry 14M15, 14M17, 51M35, 32M10 A Schubert class is called rigid if it can only be represented by Schubert varieties. The rigid Schubert classes have been classified in Grassmannians and orthogonal Grassmannians. In this paper, we study the rigidity problem in partial flag varieties (type A) and orthogonal partial flag varieties (type B and type D). In particular, we give numerical conditions that ensure a Schubert class is rigid. |
| title | Rigid Schubert classes in partial flag varieties |
| topic | Algebraic Geometry 14M15, 14M17, 51M35, 32M10 |
| url | https://arxiv.org/abs/2401.11375 |