English

On a Conjecture of Schmidt for the Parametric Geometry of Numbers

Number Theory 2015-12-10 v1

Abstract

With the help of the recently introduced parametric geometry of numbers by W. M. Schmidt and L. Summerer, we prove a strong version of a conjecture of Schmidt concerning the successive minima of a lattice.

Keywords

Cite

@article{arxiv.1512.02939,
  title  = {On a Conjecture of Schmidt for the Parametric Geometry of Numbers},
  author = {Aminata Dite Tanti Keita},
  journal= {arXiv preprint arXiv:1512.02939},
  year   = {2015}
}