Dynamics of projective morphisms having identical canonical heights |
| |
Authors: | Kawaguchi, Shu Silverman, Joseph H. |
| |
Affiliation: | 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. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|