Jacobian and Polar Curves of Singular Foliations

Nuria Corral ()
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Nuria Corral: Universidad de Cantabria, Departamento de Matemáticas, Estadística y Computación

Chapter Chapter 5 in Handbook of Geometry and Topology of Singularities V: Foliations, 2024, pp 223-280 from Springer

Abstract: Abstract In this survey we describe results concerning topological properties of polar and jacobian curves of foliations. We also describe how invariants defined from polar or jacobian curves can be used to characterize generalized curve foliations or second type ones.

Keywords: Singular foliation; Polar curve; Jacobian curve; Camacho-Sad index; Equisingularity; Ramification; Newton polygon; Analytic invariant (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-52481-3_5

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DOI: 10.1007/978-3-031-52481-3_5

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