Braid Monodromy Factorization and Diffeomorphism Types
Algebraic Geometry
2015-06-26 v1
Abstract
In this manuscript we prove that if two cuspidal plane curves have equivalent braid monodromy factorizations, then they are smoothly isotopic in the plane. As a consequence of this and the Chisini conjecture, we obtain that if two discriminant curves (or branch curves in other terminology) of generic projections (to the plane) of surfaces of general type imbedded in a projective space by means of a multiple canonical class have equivalent braid monodromy factorizations, then the surfaces are diffeomorphic (if we consider them as real 4-folds).
Cite
@article{arxiv.math/9905129,
title = {Braid Monodromy Factorization and Diffeomorphism Types},
author = {Vik. S. Kulikov and M. Teicher},
journal= {arXiv preprint arXiv:math/9905129},
year = {2015}
}
Comments
2 files: TEX file of text and file of figures (gzipped)