arXiv Analytics

Sign in

arXiv:1004.2713 [math.NT]AbstractReferencesReviewsResources

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

Michelle Manes, Yu Yasufuku

Published 2010-04-15, updated 2010-07-30Version 3

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

Comments: Minor revisions from v2, including correction the the final Remark. To appear in Acta Arithmetica
Categories: math.NT, math.DS
Subjects: 37P05, 37P45, 14G05
Related articles: Most relevant | Search more
arXiv:1208.5794 [math.NT] (Published 2012-08-28, updated 2017-03-29)
On quadratic rational maps with prescribed good reduction
arXiv:2303.05632 [math.NT] (Published 2023-03-10, updated 2023-08-13)
Dynatomic Galois groups for a family of quadratic rational maps
arXiv:1510.04726 [math.NT] (Published 2015-10-15)
Quadratic maps with a periodic critical point of period 2

Links

Toolbox