  We study the moduli space of logarithmic connections of rank 2 on the Riemann
sphere minus n points with fixed spectral data. There are two natural
Lagrangian maps: one towards apparent singularities of the associated fuchsian
scalar equation, and another one towards moduli of parabolic bundles. We show
that these are transversal and dual to each other. In case n=5, we recover the
beautiful geometry of Del Pezzo surfaces of degree 4.
