Moderate rank jumps on rational elliptic surfaces via construction of conics
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915648499613696 |
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| author | Desjardins, Julie |
| author_facet | Desjardins, Julie |
| contents | This note is devoted to studying certain families of elliptic surfaces with infinitely many fibers with rank at least 3 or 4 revisiting and combining ideas from of Gary Walsh, Salgado and Loughran, and the author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moderate rank jumps on rational elliptic surfaces via construction of conics Desjardins, Julie Number Theory Algebraic Geometry 14H52, 11G05 This note is devoted to studying certain families of elliptic surfaces with infinitely many fibers with rank at least 3 or 4 revisiting and combining ideas from of Gary Walsh, Salgado and Loughran, and the author. |
| title | Moderate rank jumps on rational elliptic surfaces via construction of conics |
| topic | Number Theory Algebraic Geometry 14H52, 11G05 |
| url | https://arxiv.org/abs/2512.02548 |