Majorations explicites de fonctions de Hilbert-Samuel géométrique et arithmétique

2014/01/29 by Huayi Chen, Chen, Huayi
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1401.7632

openalex publication_date 2014/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Successive Minima and Lattice Points

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