A shadow Markov equation

We introduce an analogue of the classical Markov equation that involves dual numbers $a+\alpha \varepsilon $ with $\varepsilon ^2=0$. This equation characterizes the “shadow Markov numbers” recently considered by one of us. We show that this equation is characterized by invariance by cluster algebra...

Full description

Bibliographic Details
Main Authors: Bonin, Nathan, Ovsienko, Valentin
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.496/