Secant varieties and successive minima
Algebraic Geometry
2016-09-07 v1 Number Theory
Abstract
Given an arithmetic surface and a positive hermitian line bundle over it, we bound the successive minima of the lattice of global sections of this line bundle. Our method combines a result of C.Voisin on secant varieties of projective curves with previous work by the author on the arithmetic analog of the Kodaira vanishing theorem. The paper also includes a result of A.Granville on the divisibility properties of binomial coefficients in a given line of Pascal's triangle.
Cite
@article{arxiv.math/0110254,
title = {Secant varieties and successive minima},
author = {Christophe Soule'},
journal= {arXiv preprint arXiv:math/0110254},
year = {2016}
}
Comments
20 pages