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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2403.10274 |
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| _version_ | 1866910915790635008 |
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| author | Chiu, Christopher Draisma, Jan Eggermont, Rob Seynnaeve, Tim Tairi, Nafie |
| author_facet | Chiu, Christopher Draisma, Jan Eggermont, Rob Seynnaeve, Tim Tairi, Nafie |
| contents | We prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence we obtain that half-spin varieties, which we introduce, are defined by the pullback of equations at a finite level. The main example for such varieties is the infinite isotropic Grassmannian in its spinor embedding, for which we explicitly determine its defining equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10274 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Noetherianity of the infinite half-spin representations Chiu, Christopher Draisma, Jan Eggermont, Rob Seynnaeve, Tim Tairi, Nafie Algebraic Geometry Representation Theory 13E05, 15A66, 16W22 We prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence we obtain that half-spin varieties, which we introduce, are defined by the pullback of equations at a finite level. The main example for such varieties is the infinite isotropic Grassmannian in its spinor embedding, for which we explicitly determine its defining equations. |
| title | Topological Noetherianity of the infinite half-spin representations |
| topic | Algebraic Geometry Representation Theory 13E05, 15A66, 16W22 |
| url | https://arxiv.org/abs/2403.10274 |