English

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

Algebraic Geometry 2011-07-19 v1 Algebraic Topology

Abstract

This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension kk. 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.

Keywords

Cite

@article{arxiv.1107.3444,
  title  = {Coverings over Tori and Topological Approach to Klein's Resolvent Problem},
  author = {Yuri Burda},
  journal= {arXiv preprint arXiv:1107.3444},
  year   = {2011}
}

Comments

35 pages, 1 figure