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Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$

Number Theory 2010-08-02 v3 Dynamical Systems

Abstract

We describe an explicit parameter space for the set of all quadratic rational maps on \pp1\pp^1 defined over a field KK, up to conjugacy over KK.

Keywords

Cite

@article{arxiv.1004.2713,
  title  = {Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$},
  author = {Michelle Manes and Yu Yasufuku},
  journal= {arXiv preprint arXiv:1004.2713},
  year   = {2010}
}

Comments

Minor revisions from v2, including correction the the final Remark. To appear in Acta Arithmetica