Limits of equisymmetric 1 -complex dimensional families of Riemann surfaces

  1. Antonio Félix Costa González 2
  2. Víctor González-Aguilera 1
  1. 1 Universidad Técnica Federico Santa María (Chile)
  2. 2 UNED (España)
Revista:
Mathematica scandinavica

ISSN: 0025-5521

Ano de publicación: 2017

Volume: 121

Número: 1

Páxinas: 26-48

Tipo: Artigo

DOI: 10.7146/MATH.SCAND.A-26306 DIALNET GOOGLE SCHOLAR

Outras publicacións en: Mathematica scandinavica

Resumo

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.

Fonte de datos: Dialnet