On Representability of Algebraic Functions by Radicals
Algebraic Geometry
2019-04-16 v2 Complex Variables
Abstract
This preprint is dedicated to a self contained simple proof of the classical criteria for representability of algebraic functions of several complex variables by radicals. It also contains a criteria for representability of algebroidal functions by composition of single-valued analytic functions and radicals, and a result related to the 13-th Hilbert problem. This preprint is an extended version of the author's 1971 paper. It is written as a part of the comments to a new edition (in preparation) of the classical book `Integration in finite terms' by J.F.~Ritt.
Cite
@article{arxiv.1903.08632,
title = {On Representability of Algebraic Functions by Radicals},
author = {Askold Khovanskii},
journal= {arXiv preprint arXiv:1903.08632},
year = {2019}
}
Comments
8 pages, comments are welcome