$6$-torsion and integral points on quartic threefolds
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917794840313856 |
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| author | Chan, Stephanie Koymans, Peter Pagano, Carlo Sofos, Efthymios |
| author_facet | Chan, Stephanie Koymans, Peter Pagano, Carlo Sofos, Efthymios |
| contents | We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic threefold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13359 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $6$-torsion and integral points on quartic threefolds Chan, Stephanie Koymans, Peter Pagano, Carlo Sofos, Efthymios Number Theory We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic threefold. |
| title | $6$-torsion and integral points on quartic threefolds |
| topic | Number Theory |
| url | https://arxiv.org/abs/2403.13359 |