  This paper presents the theory of holomorphic vector valued modular forms
from a geometric perspective. More precisely, we define certain holomorphic
vector bundles on the modular orbifold of generalized elliptic curves whose
sections are vector valued modular forms. This perspective simplifies the
theory, and it clarifies the role that exponents of representations of SL_2(Z)
play in the holomorphic theory of vector valued modular forms. Further, it
allows one to use standard techniques in algebraic geometry to deduce
free-module theorems and dimension formulae (deduced previously by other
authors using different techniques), by identifying the modular orbifold with
the weighted projective line P(4, 6).
