Shafarevich on his 80 th birthday ON BRAID MONODROMY FACTORIZATIONS

Abstract

We introduce and develop a language of semigroups over the braid groups for a study of braid monodromy factorizations (bmf's) of plane algebraic curves and other related objects. As an application we give a new proof of Orevkov's theorem on realization of a bmf over a disc by algebraic curves and show that the complexity of such a realization can not be… (More)

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Cite this paper

@inproceedings{Kharlamov2003ShafarevichOH, title={Shafarevich on his 80 th birthday ON BRAID MONODROMY FACTORIZATIONS}, author={V. M. Kharlamov and Vik. S. Kulikov}, year={2003} }