On the torsion of Drinfeld modules of rank two
Abstract
Description
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.
revised version, 44 pages, to appear in Crelle
revised version, 44 pages, to appear in Crelle