A (complex) projective structure is a geometric structure
on a real surface, and it is a refinement of a complex structure.
In addition each projective structure enjoys  a homomorphism of the
fundamental group of the surface into PSL(2,C), which is called
holonomy representation.

We discuss about some well-known results and basic examples of
complex projective structures.  In addition, we talk about different
projective structures sharing such a homomorphism.