A parallelogram height inequality for Drinfeld modules
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917136680615936 |
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| author | Baker, Liam Griffon, Richard Pazuki, Fabien |
| author_facet | Baker, Liam Griffon, Richard Pazuki, Fabien |
| contents | We prove inequalities relating the Taguchi heights, respectively the graded heights, of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the analogue for Drinfeld modules of the parallelogram inequality of Rémond (2022) for abelian varieties over number fields and of Griffon--Le Fourn--Pazuki (2025) for abelian varieties over function fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A parallelogram height inequality for Drinfeld modules Baker, Liam Griffon, Richard Pazuki, Fabien Number Theory 11G09, 11G50, 14G40, 14K02 We prove inequalities relating the Taguchi heights, respectively the graded heights, of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the analogue for Drinfeld modules of the parallelogram inequality of Rémond (2022) for abelian varieties over number fields and of Griffon--Le Fourn--Pazuki (2025) for abelian varieties over function fields. |
| title | A parallelogram height inequality for Drinfeld modules |
| topic | Number Theory 11G09, 11G50, 14G40, 14K02 |
| url | https://arxiv.org/abs/2512.09526 |