Secant varieties and successive minima

Christophe Soule'

Secant varieties and successive minima

代数几何 2016-09-07 v1 数论

作者: Christophe Soule'

摘要

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.

关键词

vector bundles and cohomology vector bundles projective varieties

引用

@article{arxiv.math/0110254,
  title  = {Secant varieties and successive minima},
  author = {Christophe Soule'},
  journal= {arXiv preprint arXiv:math/0110254},
  year   = {2016}
}

备注

20 pages

相关论文

查看更多相关论文 →