A combinatorial approach to singularities of normal surfaces

Manfredini, Sandro

Manfredini, Sandro

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, p. 461-491

Résumé

In this paper we study generic coverings of

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

{x^{n} = y^{m}}

(with

n \leq m

) and the degree of the cover is equal to

n

n - 1

MR 2020857 | Zbl 1170.32313

Classification: 32S25, 32S05

@article{ASNSP_2003_5_2_3_461_0,
     author = {Manfredini, Sandro},
     title = {A combinatorial approach to singularities of normal surfaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 5, 2},
     number = {3},
     year = {2003},
     pages = {461-491},
     zbl = {1170.32313},
     mrnumber = {2020857},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2003_5_2_3_461_0}
}

Manfredini, Sandro. A combinatorial approach to singularities of normal surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 461-491. http://www.numdam.org/item/ASNSP_2003_5_2_3_461_0/

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