On the number of Puiseux exponents of an invariant branch of a vector field
classification
🧮 math.AG
math.CVmath.DS
keywords
branchexponentsnumberpuiseuxanalyticassociatedboundconvergent
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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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