%0 Journal Article %A Michelle Manes %A Yu Yasufuku %T Explicit descriptions of quadratic maps on $\mathbb{P}^1$ defined over a field $K$ %J Acta Arithmetica %D 2011 %P 257-267 %V 148 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa148-3-3/ %R 10.4064/aa148-3-3 %G en %F 10_4064_aa148_3_3