Branching Data for Algebraic Functions and Representability by Radicals

Mathematics – Algebraic Geometry

Scientific paper

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Submitted for publication to Banach Center Publications on April 1st, 2011

Scientific paper

The branching data of an algebraic function is a list of orders of local
monodromies around branching points. We present branching data that ensure that
the algebraic functions having them are representable by radicals. This paper
is a review of recent work by the authors and of closely related classical work
by Ritt.

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