  This article describes some complex-analytic aspects of the moduli space of
the finite-dimensional complex representations of a finite quiver, which are
stable with respect to a fixed rational weight. We construct a natural
structure of a complex manifold on this moduli space, and a K\"ahler metric on
the complex manifold. We then define a Hermitian holomorphic line bundle on the
moduli space, and show that its curvature is a rational multiple of the
K\"ahler form.
