Analytic Classification of Foliations Induced by Germs of Holomorphic Vector Fields in ( ℂ n , 0 ) $(\mathbb {C}^{n},0)$ with Non-isolated Singularities

2019 ◽  
Vol 25 (3) ◽  
pp. 491-516
Author(s):  
L. Ortiz-Bobadilla ◽  
E. Rosales-González ◽  
S. M. Voronin
Keyword(s):  
Vector Fields ◽  
Isolated Singularities ◽  
Holomorphic Vector Fields ◽  
Analytic Classification

Absolutely isolated singularities of holomorphic vector fields

1989 ◽  
Vol 98 (2) ◽  
pp. 351-369 ◽  
Author(s):  
C. Camacho ◽  
F. Cano ◽  
P. Sad
Keyword(s):  
Vector Fields ◽  
Isolated Singularities ◽  
Holomorphic Vector Fields

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

2021 ◽  
Author(s):  
René Zander
Keyword(s):  
Elliptic Curves ◽  
Vector Fields ◽  
Singularity Structure ◽  
Quadratic Vector Fields ◽  
Parameter Values

AbstractWe 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.

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