Weierstrass 1-forms and nondicritical generalized curve foliations-Reference-Cited by-同舟云学术

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Weierstrass 1-forms and nondicritical generalized curve foliations

Published:2023-04-21 Issue:06 Volume:34 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

García Barroso Evelia R.¹,Hernandes Marcelo Escudeiro²,Iglesias Mauro Fernando Hernández³

Affiliation:

1. Departamento de Matemáticas, Estadística e I. O. Sección de Matemáticas, Universidad de La Laguna, Apartado de Correos 456 38200 La Laguna, Tenerife, España

2. Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo 5790, Maringá, Maringá-PR 87020-900, Brazil

3. Pontificia Universidad Católica del Perú, Av. Universitaria 1801, San Miguel 15088, Peru

Abstract

In this paper, we introduce a distinguished expression for a given 1-form with respect to a polynomial [Formula: see text], called Weierstrass form. We will use this form and the properties of plane analytical curves to give new characterizations of nondicritical generalized curve foliations.

Funder

Spanish

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X23500283

Reference15 articles.

1. Some remarks on indices of holomorphic vector fields

2. Topological invariants and equidesingularization for holomorphic vector fields

3. Invariant Varieties Through Singularities of Holomorphic Vector Fields

4. Localisation des résidus de Baum-Bott, courbes généralisées et K-théorie (I: feuilletages dans $ {\Bbb C}^2 $ )

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