The field of definition for dynamical systems on 1
Compositio Mathematica, Tome 98 (1995) no. 3, pp. 269-304

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     author = {Silverman, Joseph H.},
     title = {The field of definition for dynamical systems on $\mathbb {P}^1$},
     journal = {Compositio Mathematica},
     pages = {269--304},
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     number = {3},
     year = {1995},
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     zbl = {0849.11090},
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     url = {http://geodesic.mathdoc.fr/item/CM_1995__98_3_269_0/}
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Silverman, Joseph H. The field of definition for dynamical systems on $\mathbb {P}^1$. Compositio Mathematica, Tome 98 (1995) no. 3, pp. 269-304. http://geodesic.mathdoc.fr/item/CM_1995__98_3_269_0/