On the torsion of Drinfeld modules of rank two

Details On the torsion of Drinfeld modules of rank two On the torsion of Drinfeld modules of rank two

2007-08-30

arxiv.org/abs/0708.4243v3

Mathematics

Number Theory

revised version, 44 pages, to appear in Crelle

Scientific paper

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.

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