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Branching Data for Algebraic Functions and Representability by Radicals

2011/04/03 by Yuri Burda, Burda, Yuri, Askold Khovanskiĭ +2
Computer Science · Mathematics · #14H30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 12F10 #Secondary 14H05 #math.AG #msc:12F10 #msc:14H05 #msc:14H30

paper · pdf · doi:10.48550/arxiv.1104.0424

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

arxiv created 2011/04/03 · openalex publication_date 2011/04/03 · arxiv updated 2011/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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