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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3726| Title: | Local analytic conjugacy of semi-hyperbolic mappings in two variables, in the non-archimedean setting |
| Authors: | Jenkins, Adrian SPALLONE, STEVEN Dept. of Mathematics |
| Keywords: | Conjugacy normal form non-archimedean p-adic formal analytic holomorphic 2012 |
| Issue Date: | Apr-2012 |
| Publisher: | World Scientific Publishing |
| Citation: | International Journal of Mathematics, 23, (06), 1250059. |
| Abstract: | In this note, we consider locally invertible analytic mappings of a two-dimensional space over a non-archimedean field. Such a map is called semi-hyperbolic if its Jacobian has eigenvalues λ1 and λ2 so that λ1 = 1 and |λ2| ≠ 1. We prove that two analytic semi-hyperbolic maps are analytically equivalent if and only if they are formally equivalent, applying a generalized version of an estimation scheme from our earlier work |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3726 https://doi.org/10.1142/S0129167X12500590 |
| ISSN: | 0129-167X 1793-6519 |
| Appears in Collections: | JOURNAL ARTICLES |
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