Plane curve complements and curves on Hurwitz spaces

Titelangaben

Dettweiler, Michael:
Plane curve complements and curves on Hurwitz spaces.
In: Journal für die Reine und Angewandte Mathematik. (2004) Heft 573 . - S. 19-43.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crll.2004.060

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Abstract

We study rational curves in configuration spaces which is equivalent tostudying fibrations of plane curve complements. This is applied to the theory of Hurwitzspaces which are unramified covers of configuration spaces. We formulate a criterion fora finite group to occur regularly as Galois group over (Q) and apply this criterion in severalcases.