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18 April 2024
 
  » arxiv » math.AG/0002174

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Generic coverings of plane with A-D-E-singularities
V.S. Kulikov ; Vik.S. Kulikov ;
Date 21 Feb 2000
Subject Algebraic Geometry MSC-class: 14J17, 14J29 | math.AG
AbstractWe 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 $mge 5$.
Source arXiv, math.AG/0002174
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