Transformation Groups

, Volume 17, Issue 4, pp 921–951

Coverings over Tori and topological approach to Klein’s resolvent problem


DOI: 10.1007/s00031-012-9199-0

Cite this article as:
Burda, Y. Transformation Groups (2012) 17: 921. doi:10.1007/s00031-012-9199-0


This paper 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 fewer parameters by means of a rational transformation.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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