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arXiv · 1709.09411

On the number of Puiseux exponents of an invariant branch of a vector field

Pedro Fortuny Ayuso
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Abstract

We show that the multiplicity of a plane analytic 1-form is a bound for the number of Puiseux exponents of a (formal or convergent) branch. This is true whether the associated foliation is dicritical or not.

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Pedro Fortuny Ayuso. 2017-09-27. On the number of Puiseux exponents of an invariant branch of a vector field. https://arxiv.org/abs/1709.09411

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