Bogomolov Property for Drinfeld Modules with Complex Multiplications
type: Dataset
description: Denote by A := F q [T] and k := F q (T). Let φ be a Drinfeld A-module defined on the algebraic closure of k and h its canonical height. Let K/k be a finite extension and L/K a infinite Galois extension. By analogy with the terminology used by E. Bombieri and U. Zannier, we state that L has the property (B,φ) if exists a strictly positive constant which bound h on L except for torsion points of φ. S. David and A. Pacheco have proven that for all Drinfeld modules φ, the abelian closure of K has the property (B,φ). In this thesis we generalize this result, for the Drinfeld modules with complex multiplication.
issued: 2026-05-05T15:55:50.919870
language: fr
modified: 2026-05-05T15:55:50.919874
contact point: Organization
  fn: CCSD
keyword: approximation-diophantienne
keyword: drinfeld-modules-de
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-ntmathematics-mathnumber-theory-mathnt
keyword: multiplication-complexe
keyword: theses
landing page: https://theses.hal.science/tel-00975587

Bogomolov Property for Drinfeld Modules with Complex Multiplications
type: Distribution
format: HTML
issued: 2026-05-05T15:55:50.922009
modified: 2026-05-05T15:55:50.913223
access URL: https://theses.hal.science/tel-00975587

test_moissonnage_selune
type: Agent