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arXiv:0902.2868 [math.DS]AbstractReferencesReviewsResources

Existence of non-algebraic singularities of differential equation

Yohann Genzmer, Loïc Teyssier

Published 2009-02-17, updated 2010-05-31Version 2

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.

Comments: 11 pages
Journal: Journal of Differential Equations 248, 5 (2010) 1256-1267
Categories: math.DS
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