Limits of equisymmetric 1 -complex dimensional families of Riemann surfaces
- Antonio Félix Costa González 2
- Víctor González-Aguilera 1
- 1 Universidad Técnica Federico Santa María (Chile)
- 2 UNED (España)
ISSN: 0025-5521
Año de publicación: 2017
Volumen: 121
Número: 1
Páginas: 26-48
Tipo: Artículo
Otras publicaciones en: Mathematica scandinavica
Resumen
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.