In this paper we study generic coverings of C^2 branched over a curve Such that 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.
A combinatorial approach to singularities of normal surfaces
MANFREDINI, SANDRO
2003-01-01
Abstract
In this paper we study generic coverings of C^2 branched over a curve Such that 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.File in questo prodotto:
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