Branching data for algebraic functions and representability by radicals
Volume 94 / 2011
Banach Center Publications 94 (2011), 131-142
MSC: Primary 12F10; Secondary 14H05, 14H30.
DOI: 10.4064/bc94-0-6
Abstract
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.