Random Diophantine equations of large degree
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911240444444672 |
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| author | Browning, Tim Sawin, Will |
| author_facet | Browning, Tim Sawin, Will |
| contents | Among the set of hypersurfaces of degree $d$ and dimension $\ell$ defined by the vanishing of a homogeneous polynomial with coefficients $\pm 1$, we investigate the probability that a hypersurface contains a rational point as $d$ and $\ell$ tend to infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random Diophantine equations of large degree Browning, Tim Sawin, Will Number Theory 11D45 (11G50, 11P21, 14G05) Among the set of hypersurfaces of degree $d$ and dimension $\ell$ defined by the vanishing of a homogeneous polynomial with coefficients $\pm 1$, we investigate the probability that a hypersurface contains a rational point as $d$ and $\ell$ tend to infinity. |
| title | Random Diophantine equations of large degree |
| topic | Number Theory 11D45 (11G50, 11P21, 14G05) |
| url | https://arxiv.org/abs/2510.26191 |