Comptes Rendus
Combinatoire
A shadow Markov equation
Nathan Bonin1 ; Valentin Ovsienko1 
1 Laboratoire de Mathématiques de Reims, UMR9008 CNRS, Université de Reims Champagne-Ardenne, U.F.R. Sciences Exactes et Naturelles, Moulin de la Housse - BP 1039, 51687 Reims cedex 2, France
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1483-1489.

We introduce an analogue of the classical Markov equation that involves dual numbers a+αε with ε 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 mutations.

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DOI : 10.5802/crmath.496
Nathan Bonin 1 ; Valentin Ovsienko 1

1 Laboratoire de Mathématiques de Reims, UMR9008 CNRS, Université de Reims Champagne-Ardenne, U.F.R. Sciences Exactes et Naturelles, Moulin de la Housse - BP 1039, 51687 Reims cedex 2, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Nathan Bonin; Valentin Ovsienko. A shadow Markov equation. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1483-1489. doi : 10.5802/crmath.496. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.496/

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