  In this paper we describe the compactification of the Drinfeld modular curve.
This compactification is analogous to the compactification of the classical
modular curve given by Katz and Mazur. We show how the Weil pairing on Drinfeld
modules that we defined in earlier work gives rise to a map on the Drinfeld
modular curve. We introduce the Tate-Drinfeld module and show how this
describes the formal neighbourhood of the scheme of cusps of the Drinfeld
modular curve.
