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

Abstract

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 $m\ge 5$.

43 pages, 20 figures; to appear in Izvestiya Math

References in corpus (1)

• On a Chisini Conjecture

Cited by in corpus (2)

• On the branch curve of a general projection of a surface to a plane
• Full twists factorization formula for double number of strings