Minima successifs des réseaux et pentes des fibrés vectoriels sur les corps de fonctions globaux
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_ | 1866914126376206336 |
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| author | Bost, Jean-Benoît Paulin, Frédéric |
| author_facet | Bost, Jean-Benoît Paulin, Frédéric |
| contents | Let ${\bf C}$ be a smooth geometrically connected projective curve over a finite field, and let $A$ be the affine algebra of its regular functions outside a fixed place of ${\bf C}$. We give precise relationships between the Mahler successive minima of normed $A$-lattices and the Harder-Narasimhan slopes of vector bundles over ${\bf C}$ using their category equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minima successifs des réseaux et pentes des fibrés vectoriels sur les corps de fonctions globaux Bost, Jean-Benoît Paulin, Frédéric Algebraic Geometry Number Theory 14H05, 11H50, 14H60, 13C10, 11G20 Let ${\bf C}$ be a smooth geometrically connected projective curve over a finite field, and let $A$ be the affine algebra of its regular functions outside a fixed place of ${\bf C}$. We give precise relationships between the Mahler successive minima of normed $A$-lattices and the Harder-Narasimhan slopes of vector bundles over ${\bf C}$ using their category equivalence. |
| title | Minima successifs des réseaux et pentes des fibrés vectoriels sur les corps de fonctions globaux |
| topic | Algebraic Geometry Number Theory 14H05, 11H50, 14H60, 13C10, 11G20 |
| url | https://arxiv.org/abs/2510.26984 |