Resumen de Limits of equisymmetric 1 -complex dimensional families of Riemann surfaces

Antonio Félix Costa González, Víctor González-Aguilera

• We describe the limit surfaces of some equisymmetric 1-complex dimensional families of Riemann surfaces in the boundary of the Deligne-Mumford compactification of moduli space. We provide a description of such nodal Riemann surfaces in terms of the group of automorphisms defining the family. We apply our method to some known examples.