Yuri Burda. Around rational functions invertible in radicals
Submitted on: May 02, 2012, 14:38:33
Natural Sciences / Mathematics / Geometry
Description: A class of rational functions characterized by some wonderful properties is studied. The properties that identify this class include simple algebra (their inverses can be expressed in radicals), simple topology (the total space of the minimal Galois covering dominating them has genus 0 or 1) and simple local topology (branching data). Explicit formulae for these functions are obtained as well as their classification up to different equivalence relations.
The abstract of this article has been published in the "Intellectual Archive Bulletin" , May 2012, ISSN 1929-1329.
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