English

Local positivity and effective Diophantine approximation

Number Theory 2020-05-15 v1 Algebraic Geometry

Abstract

In this paper we present a new approach to prove effective results in Diophantine approximation. We then use it to prove an effective theorem on the simultaneous approximation of two algebraic numbers satisfying an algebraic equation with complex coefficients.

Keywords

Cite

@article{arxiv.2005.06531,
  title  = {Local positivity and effective Diophantine approximation},
  author = {Matthias Nickel},
  journal= {arXiv preprint arXiv:2005.06531},
  year   = {2020}
}

Comments

14 pages

R2 v1 2026-06-23T15:31:34.270Z