A combinatorial approach to singularities of normal surfaces

Sandro Manfredini

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2003)

  • Volume: 2, Issue: 3, page 461-491
  • ISSN: 0391-173X

Abstract

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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 ≤ m ) and the degree of the cover is equal to n or n - 1 .

How to cite

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Manfredini, Sandro. "A combinatorial approach to singularities of normal surfaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 2.3 (2003): 461-491. <http://eudml.org/doc/84509>.

@article{Manfredini2003,
abstract = {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 $n-1$.},
author = {Manfredini, Sandro},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {461-491},
publisher = {Scuola normale superiore},
title = {A combinatorial approach to singularities of normal surfaces},
url = {http://eudml.org/doc/84509},
volume = {2},
year = {2003},
}

TY - JOUR
AU - Manfredini, Sandro
TI - A combinatorial approach to singularities of normal surfaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2003
PB - Scuola normale superiore
VL - 2
IS - 3
SP - 461
EP - 491
AB - 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 $n-1$.
LA - eng
UR - http://eudml.org/doc/84509
ER -

References

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