On the logarithmic connections over curves (Q2870991)

``On the moduli spaces of logarithmic connections over smooth complex projective curves'' one studies two actions: ``one given by the automorphisms of the base curve and the other given by the torsion points of suitable order of the Jacobian of the curve''.NEWLINENEWLINEFrom the authors' abstract: ``Firstly, we establish a dictionary between logarithmic orbifold connections and parabolic logarithmic connections over the quotient curve. Secondly, we prove that fixed points on the moduli space of connections under the action of finite order line bundles are exactly the push-forward of logarithmic connections on a certain unramified Galois cover of the base curve. In the coprime case, this action of finite order line bundles on the moduli space is cohomologically trivial.''