Coverings over Tori and Topological Approach to Klein's Resolvent Problem

Abstract

This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension $k$. The answer to this question is then applied in algebro-geometric context to present obstructions to transforming an algebraic equation depending on several parameters to an equation depending on less parameters by means of a rational transformation.

35 pages, 1 figure