Proof of the Ginzburg-Kazhdan conjecture
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909194124263424 |
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| author | Gannon, Tom |
| author_facet | Gannon, Tom |
| contents | We prove that the affine closure of the cotangent bundle of the basic affine space of a complex semisimple group has conical symplectic singularities, which confirms a conjecture of Ginzburg and Kazhdan. We also show that this variety is $\mathbb{Q}$-factorial and has terminal singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11160 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Proof of the Ginzburg-Kazhdan conjecture Gannon, Tom Algebraic Geometry Representation Theory Symplectic Geometry We prove that the affine closure of the cotangent bundle of the basic affine space of a complex semisimple group has conical symplectic singularities, which confirms a conjecture of Ginzburg and Kazhdan. We also show that this variety is $\mathbb{Q}$-factorial and has terminal singularities. |
| title | Proof of the Ginzburg-Kazhdan conjecture |
| topic | Algebraic Geometry Representation Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2302.11160 |