Remarks on Automorphisms of $\mathbb{C}^* \times \mathbb{C}^*$ and their basins

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dc.creatorVivas, Liz Raquel
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:30Z
dc.date.available2026-07-07T10:02:30Z
dc.descriptionWe study basins of attraction of automorphisms of $\CC^2$ tangent to the identity that fix both axes. Our main result is that, if a well known conjecture about automorphisms of $\CC^*\times\CC^*$ holds, then there are no basins of attraction associated to the non-degenerate characteristic directions (in the sense of Hakim), and therefore we cannot find a Fatou-Bieberbach domain that does not intersect both axis with this method.
dc.description6 pages, comments welcome
dc.identifierhttps://arxiv.org/abs/0809.2116
dc.identifierhttp://arxiv.org/abs/0809.2116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168993
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32H50 (Primary); 32H02 (Secondary)
dc.titleRemarks on Automorphisms of $\mathbb{C}^* \times \mathbb{C}^*$ and their basins
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