A combinatorial approach to singularities of normal surfaces

• Sandro Manfredini ^[1]
  1. [1] Università degli Studi di Pisa, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 2, Nº 3, 2003, págs. 461-491
• Idioma: inglés
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• Resumen

  • In this paper we study generic coverings of \mathbb{C}^2 branched over a curve s.t. the total space is a normal analytic surface, in terms of a graph representing the monodromy of the covering, called monodromy graph. A complete description of the monodromy graphs and of the local fundamental groups is found in case the branch curve is \lbrace x^n=y^m\rbrace (with n\le m) and the degree of the cover is equal to n or n-1.