Generic coverings of plane with A-D-E-singularities
Algebraic Geometry
2015-06-26 v1
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 .
Keywords
Cite
@article{arxiv.math/0002174,
title = {Generic coverings of plane with A-D-E-singularities},
author = {V. S. Kulikov and Vik. S. Kulikov},
journal= {arXiv preprint arXiv:math/0002174},
year = {2015}
}
Comments
43 pages, 20 figures; to appear in Izvestiya Math