✦ LIBER ✦

Chaotic Polynomial Automorphisms: Counterexamples to Several Conjectures

✍ Scribed by Arno van den Essen; Engelbert Hubbers

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 143 KB
Volume: 18
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.1996.0516

No coin nor oath required. For personal study only.

✦ Synopsis

We give a polynomial counterexample to a discrete version of the Markus᎐Yamabe conjecture and a conjecture of Deng, Meisters, and Zampieri,

Ž . asserting that if F: ‫ރ‬ ª ‫ރ‬ is a polynomial map with det JF g ‫,*ރ‬ then for all g ‫ޒ‬ large enough, F is global analytic linearizable. These counterexamples hold in any dimension G 4.

📜 SIMILAR VOLUMES

A Polynomial Counterexample to the Marku

A Polynomial Counterexample to the Markus–Yamabe Conjecture

✍ Anna Cima; Arno van den Essen; Armengol Gasull; Engelbert Hubbers; Francesc Maño 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 256 KB

We give a polynomial counterexample to both the Markus Yamabe conjecture and the discrete Markus Yamabe problem for all dimensions 3.