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On the Approximate Polar Curves of Foliations

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  • GI. Geometría algebraica: Singularidades e Invariantes (GASIULL)
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Author
Percy Fernández-Sánchez; García Barroso, Evelia RosaULL authority; Nancy Saravia-Molina
Date
2023
URI
http://riull.ull.es/xmlui/handle/915/40836
Abstract
We present a decomposition theorem of the generic polar curves of a generalized curve foliation with only one separatrix and the Hamiltonian foliations defined by the approximate roots of the generatrix. This is a generalization to foliations of the decomposition theorem of approximate Jacobians given by García Barroso and Gwo´ zdziewicz for plane branches.
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Universidad de La Laguna

Universidad de La Laguna

Pabellón de Gobierno, C/ Padre Herrera s/n. | 38200 | Apartado Postal: 456 | San Cristóbal de La Laguna, Santa Cruz de Tenerife - España | Teléfono: (+34) 922 31 90 00