Mathematics – Dynamical Systems
Scientific paper
2009-02-17
Mathematics
Dynamical Systems
11 pages
Scientific paper
An algebraizable singularity is a germ of a singular holomorphic foliation
which can be defined in some appropriate local chart by a differential equation
with algebraic coefficients. We show that there exists at least countably many
saddle-node singularities of the complex plane that are not algebraizable.
Genzmer Yohann
Teyssier Loïc
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