A Simple Proof of Jung's Theorem on Polynomial Automorphisms of $\C^2$

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dc.creatorVan Chau, Nguyen
dc.date2004-08-05
dc.date.accessioned2026-07-07T05:11:04Z
dc.date.available2026-07-07T05:11:04Z
dc.descriptionThe Automorphism Theorem, discovered first by Jung in 1942, asserts that if $k$ is a field, then every polynomial automorphism of $k^2$ is a finite product of linear automorphisms and automorphisms of the form $(x,y)\mapsto(x+p(y), y) $ for $p\in k[y]$. We present here a simple proof for the case $k=\C$ by using Newton-Puiseux expansions.
dc.identifierhttps://arxiv.org/abs/math/0408077
dc.identifierhttp://arxiv.org/abs/math/0408077
dc.identifierActa Math. Vietnamica, N. 28 (2), 209-214, 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72120
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14R
dc.titleA Simple Proof of Jung's Theorem on Polynomial Automorphisms of $\C^2$
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