Majorations explicites de fonctions de Hilbert-Samuel géométrique et arithmétique

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.

References in corpus (3)

• Successive Minima and Lattice Points
• Positive degree and arithmetic bigness
• Effective bound of linear series on arithmetic surfaces

Cited by in corpus (1)

• Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties