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Coverings over Tori and Topological Approach to Klein's Resolvent Problem (1107.3444v1)

Published 18 Jul 2011 in math.AG and math.AT

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.

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