Minoration de la hauteur canonique pour les modules de Drinfeld \`a multiplications complexes
Number Theory
2014-08-06 v1
Abstract
Lower Bound for the Canonical Height for Drinfeld Modules with Complex Multiplication. Let K be a fi nite extension of Fq(T), let L=K be a Galois extension with Galois group G and let E be the sub eld of L fixed by the center of G. Assume that there exists a finite place v of K such that the local degrees of E=K above v are bounded. Let be a Drinfeld module with complex multiplication. We give an e fective lower bound for the canonical height of on L outside the torsion points of . In the number field case, this problem was solved by F. Amoroso, S. David and U. Zannier.
Keywords
Cite
@article{arxiv.1408.1019,
title = {Minoration de la hauteur canonique pour les modules de Drinfeld \`a multiplications complexes},
author = {Hugues Bauchère},
journal= {arXiv preprint arXiv:1408.1019},
year = {2014}
}
Comments
in French