The Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curves

Gal Binyamini, Dmitry Novikov, Francesco Maria Saettone

We extend the Pila-Zannier strategy to Drinfeld modules: we prove analogues of the Manin-Mumford theorem for a product of two Drinfeld modules of equal rank, and of the André-Oort…