  We characterize the monodromies of projective structures with fuchsian-type
singularities. Namely, any representation from the fundamental group of a
Riemann surface of finite-type in $PSL_2(\mathbb{C})$ can be represented as the
holonomy of branched projective structure with fuchsian-type singularities over
the cusps. We made a geometrical/topological study of all local conical
projective structures whose Schwarzian derivative admits a simple pole at the
cusp. Finally, we explore isomonodromic deformations of such projective
structures and the problem of minimizing angles.
