Sym-Noetherianity for powers of GL-varieties
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866911156659027968 |
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| author | Chiu, Christopher H. Danelon, Alessandro Draisma, Jan Eggermont, Rob H. Farooq, Azhar |
| author_facet | Chiu, Christopher H. Danelon, Alessandro Draisma, Jan Eggermont, Rob H. Farooq, Azhar |
| contents | Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_05790 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sym-Noetherianity for powers of GL-varieties Chiu, Christopher H. Danelon, Alessandro Draisma, Jan Eggermont, Rob H. Farooq, Azhar Algebraic Geometry Combinatorics Representation Theory Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action. |
| title | Sym-Noetherianity for powers of GL-varieties |
| topic | Algebraic Geometry Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2212.05790 |