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arXiv · 1401.7632

Majorations explicites de fonctions de Hilbert-Samuel géométrique et arithmétique

Huayi Chen
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Abstract

By using the $\mathbb R$-filtration approach of Arakelov geometry, one establishes explicit upper bounds for geometric and arithmetic Hilbert-Samuel function for line bundles on projective varieties and hermitian line bundles on arithmetic projective varieties.

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Huayi Chen. 2014-01-29. Majorations explicites de fonctions de Hilbert-Samuel géométrique et arithmétique. https://arxiv.org/abs/1401.7632

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