On the compactification of the Drinfeld modular curve of level [formula omitted].

Let p be a rational prime and q a power of p. Let n be a non-constant monic polynomial in F q [ t ] which has a prime factor of degree prime to q − 1. In this paper, we define a Drinfeld modular curve Y 1 Δ (n) over A [ 1 / n ] and study the structure around cusps of its compactification X 1 Δ (n) , in a parallel way to Katz-Mazur's work on classical modular curves. Using them, we also define a Hodge bundle over X 1 Δ (n) such that Drinfeld modular forms of level Γ 1 (n) , weight k and some type are identified with global sections of its k -th tensor power. [ABSTRACT FROM AUTHOR]