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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.03928 |
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| _version_ | 1866913301185691648 |
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| author | Fresse, Lucas Penkov, Ivan |
| author_facet | Fresse, Lucas Penkov, Ivan |
| contents | Ind-varieties of generalized flags have been studied for two decades. However, a precise statement of when two such ind-varieties, one or both being possibly ind-varieties of isotropic generalized flags, are isomorphic, has been missing in the literature. Using some recent results on the structure of ind-varieties of generalized flags, we establish a criterion for the existence of an isomorphism as above. Our result claims that, with only two exceptions, isomorphisms of ind-varieties of generalized flags are induced by isomorphisms of respective generalized flags. The exceptional isomorphisms correlate with a well-known result of A. Onishchik from 1963. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On isomorphisms of ind-varieties of generalized flags Fresse, Lucas Penkov, Ivan Algebraic Geometry Ind-varieties of generalized flags have been studied for two decades. However, a precise statement of when two such ind-varieties, one or both being possibly ind-varieties of isotropic generalized flags, are isomorphic, has been missing in the literature. Using some recent results on the structure of ind-varieties of generalized flags, we establish a criterion for the existence of an isomorphism as above. Our result claims that, with only two exceptions, isomorphisms of ind-varieties of generalized flags are induced by isomorphisms of respective generalized flags. The exceptional isomorphisms correlate with a well-known result of A. Onishchik from 1963. |
| title | On isomorphisms of ind-varieties of generalized flags |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.03928 |