An analytic viewpoint on the Hasse principle
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909160572977152 |
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| author | Mehmeti, Vlerë |
| author_facet | Mehmeti, Vlerë |
| contents | Working on Berkovich analytic curves, we propose a geometric approach to the study of the Hasse principle over function fields of curves defined over a complete discretely valued field. Using it, we show the Hasse principle to be verified for certain families of projective homogeneous spaces. As a consequence, we also obtain said principle in the already known cases of quadratic forms and homogeneous varieties over unitary groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_16234 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An analytic viewpoint on the Hasse principle Mehmeti, Vlerë Algebraic Geometry Number Theory Working on Berkovich analytic curves, we propose a geometric approach to the study of the Hasse principle over function fields of curves defined over a complete discretely valued field. Using it, we show the Hasse principle to be verified for certain families of projective homogeneous spaces. As a consequence, we also obtain said principle in the already known cases of quadratic forms and homogeneous varieties over unitary groups. |
| title | An analytic viewpoint on the Hasse principle |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2203.16234 |