Separability of wild automorphisms of a polynomial ring |
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Authors: | E. Edo T. Kanehira M. Karaś S. Kuroda |
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Affiliation: | 1. ERIM, University of New Caledonia, BP R4-98851, Nouméa CEDEX, New Caledonia 2. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo, 192-0397, Japan 3. Instytut Matematyki, Wydzia? Matematyki i Informatyki, Uniwersytetu Jagiellońskiego, ul. ?ojasiewicza 6, 30-348, Kraków, Poland
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Abstract: | For a large class (including the Nagata automorphism) of wild automorphisms F of k[x, y, z] (where k is a field of characteristic zero), we prove that we can find a weight w such that there exists no tame automorphism with the same w-weight multidegree. |
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