The leading constant for rational points in families
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866909353606381568 |
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| author | Loughran, Daniel Rome, Nick Sofos, Efthymios |
| author_facet | Loughran, Daniel Rome, Nick Sofos, Efthymios |
| contents | We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of varieties in a family which are everywhere locally soluble. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13559 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The leading constant for rational points in families Loughran, Daniel Rome, Nick Sofos, Efthymios Number Theory Algebraic Geometry 14G05, 11E20, 11D45, 14D10, 11N36 We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of varieties in a family which are everywhere locally soluble. |
| title | The leading constant for rational points in families |
| topic | Number Theory Algebraic Geometry 14G05, 11E20, 11D45, 14D10, 11N36 |
| url | https://arxiv.org/abs/2210.13559 |