On the torsion of Drinfeld modules of rank two

Ambrus Pal

On the torsion of Drinfeld modules of rank two

Number Theory 2009-02-27 v3

Authors: Ambrus Pal

Abstract

We study rational points and torsion points on Drinfeld modular curves defined over rational function fields. As a consequence we derive a conjecture of Schweizer describing completely the torsion of Drinfeld modules of rank two over $\Bbb F_2(T)$ implying Poonen's uniform boundedness conjecture in this particular case.

Keywords

Drinfeld modules torsion points Drinfeld modular curves rational function fields Schweizer's conjecture Poonen's uniform boundedness conjecture rank two

Cite

@article{arxiv.0708.4243,
  title  = {On the torsion of Drinfeld modules of rank two},
  author = {Ambrus Pal},
  journal= {arXiv preprint arXiv:0708.4243},
  year   = {2009}
}

Comments

revised version, 44 pages, to appear in Crelle

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