Equicharacteristic Tate conjecture for Drinfeld modules

In this paper we study an analogue of a theorem of de Jong on the homomorphisms of Barsotti-Tate groups, transposed in our case to the setting of Drinfeld modules and their generalizations. In particular we prove a result on the extension of homomorphisms of ℘-divisible groups over an equal characteristic discrete valuation ring, where ℘ is a prime ideal of the ring of regular functions on an affine curve. We then use this result to deduce the equal characteristic Tate Conjecture for Drinfeld modules, which was up till now the one remaining unproved case of the Tate Conjecture in this instance