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- W1794228096 abstract "The article starts with some introductory material about resolu- tion graphs of normal surface singularities (definitions, topological/homological properties, etc). Then we discuss the problem of N-cyclic coverings (Xf,N ,0) ! (X,0) of (X,0), branched along ({f = 0},0), where f : (X,0) ! (C,0) is the germ of an analytic function. We present non-trivial examples in order to show that from the embedded resolution ( X, f) of f it is not possible to recover the resolution of (Xf,N ,0). The main results are the con- struction of a covering of ( X, f) from the topology of the germ f, and the completely combinatorial construction of the resolution of (Xf,N ,0) from this universal of f and the integer N. For this we also prove some classification theorems of graph coverings, results which are purely graph-theoretical. In the last part, we connect the properties of the universal covering with the topological invariants of f, e.g. with the nilpotent part of its algebraic monodromy." @default.
- W1794228096 created "2016-06-24" @default.
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- W1794228096 date "2000-01-01" @default.
- W1794228096 modified "2023-10-14" @default.
- W1794228096 title "Resolution graphs of some surface singularities. I. Cyclic coverings" @default.
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- W1794228096 doi "https://doi.org/10.1090/conm/266/04294" @default.
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