Generic coverings of plane with A-D-E-singularities

Details Generic coverings of plane with A-D-E-singularities Generic coverings of plane with A-D-E-singularities

2000-02-21

arxiv.org/abs/math/0002174v1

Mathematics

Algebraic Geometry

43 pages, 20 figures; to appear in Izvestiya Math

Scientific paper

We generalize results of the paper math.AG/9803144, in which Chisini's conjecture on the unique reconstruction of f by the curve B is investigated. For this fibre products of generic coverings are studied. The main inequality bounding the degree of a covering in the case of existence of two nonequivalent coverings with the branch curve B is obtained. This inequality is used for the proof of the Chisini conjecture for m-canonical coverings of surfaces of general type for $m\ge 5$.

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