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Dynamics of projective morphisms having identical canonical heights |
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| Authors: | Kawaguchi Shu; Silverman Joseph H |
| Institution: | 1 Department of Mathematics Faculty of Science Kyoto University Kyoto, 606-8502 Japan kawaguch{at}math.kyoto-u.ac.jp 2 Mathematics Department Box 1917 Brown University Providence, RI 02912 USA jhs{at}math.brown.edu |
| Abstract: | Let  ,  : N  N be morphisms of degree at least 2 whose canonicalheights  and are identical. We draw various conclusions aboutthe Green functions, Julia sets, and canonical local heightsof and . We use this information to completely characterize and in the following cases: (i) and are polynomial mapsin one variable; (ii) is the dth-power map; (iii) is a Lattèsmap. |
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