Resumen de Summability condition and rigidity for finite type maps
We give a bound on the dimension of the Teichmuller space of a finite ¨ type map in terms of the number of summable singular values and finite singular orbits. This generalizes rigidity results due to Makienko, Dominguez and Sienra, and Urbanski and Zdunik. We also recover a shorter proof of a transversality theorem due to Levin. Our methods are based on the deformation theory introduced by Epstein.
