Existential rank and essential dimension of diophantine sets
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866914163583877120 |
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| author | Daans, Nicolas Dittmann, Philip Fehm, Arno |
| author_facet | Daans, Nicolas Dittmann, Philip Fehm, Arno |
| contents | We study the minimal number of existential quantifiers needed to define a diophantine set over a field and relate this number to the essential dimension of the functor of points associated to such a definition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_06941 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Existential rank and essential dimension of diophantine sets Daans, Nicolas Dittmann, Philip Fehm, Arno Number Theory Logic 11U09, 12L12, 11U05, 12L05 We study the minimal number of existential quantifiers needed to define a diophantine set over a field and relate this number to the essential dimension of the functor of points associated to such a definition. |
| title | Existential rank and essential dimension of diophantine sets |
| topic | Number Theory Logic 11U09, 12L12, 11U05, 12L05 |
| url | https://arxiv.org/abs/2102.06941 |