On the singularity structure of Kahan discretizations of a class of quadratic vector fields

We discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.

Bibliographische Detailangaben

Veröffentlicht in:	European journal of mathematics 2021-09, Vol.7 (3), p.1046-1073
1. Verfasser:	Zander, René
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Curves Discretization Fields (mathematics) Mathematics Mathematics and Statistics Research Article Singularities
Online-Zugang:	Volltext
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