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

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

2011-07-18

arxiv.org/abs/1107.3444v1

Mathematics

Algebraic Geometry

35 pages, 1 figure

Scientific paper

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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