Weierstrass 1-forms and nondicritical generalized curve foliations

  1. García Barroso, Evelia R. 1
  2. Hernandes, Marcelo Escudeiro 2
  3. Iglesias, Mauro Fernando Hernández 3
  1. 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. 2 Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo 5790, Maringá, Maringá-PR 87020-900, Brazil
  3. 3 Pontificia Universidad Católica del Perú, Av. Universitaria 1801, San Miguel 15088, Peru
Aldizkaria:
International Journal of Mathematics

ISSN: 0129-167X 1793-6519

Argitalpen urtea: 2023

Alea: 34

Zenbakia: 06

Mota: Artikulua

DOI: 10.1142/S0129167X23500283 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: International Journal of Mathematics

Laburpena

In this paper, we introduce a distinguished expression for a given 1-form with respect to a polynomial f∈C{x}[y], called Weierstrass form. We will use this form and the properties of plane analytical curves to give new characterizations of nondicritical generalized curve foliations.

Finantzaketari buruzko informazioa

Finantzatzaile

  • Spanish
    • PID2019-105896GB-I00
    • MCIN/AEI/10.13039/501100011033

Erreferentzia bibliografikoak

  • Brunella M., (1997), Publ. Mat., 41, pp. 527, 10.5565/PUBLMAT_41297_17
  • Camacho C., (1984), J. Differ. Geom., 20, pp. 143, 10.4310/jdg/1214438995
  • Camacho C., (1982), Ann. Math., 115, pp. 579, 10.2307/2007013
  • Cavalier V., (2001), Comment. Math. Helv., 76, pp. 665, 10.1007/s00014-001-8324-9
  • Fernández-Sánchez P., (2022), An. St. Univ. Ovidius Constanta, Ser. Mat., 30, pp. 103
  • Hefez A., (2003), Real and Complex Singularities, 232, pp. 1
  • Hefez A., (2011), Bull. Lond. Math. Soc., 43, pp. 289, 10.1112/blms/bdq113
  • Lins Neto A., (1988), Holomorphic Dynamics (Mexico, 1986), pp. 192
  • Loray F., (1999), J. Differ. Equ., 158, pp. 152, 10.1016/S0022-0396(99)80021-7
  • Rouillé P., (1999), Bol. Soc. Bras. Mat., 30, pp. 293, 10.1007/BF01239008
  • Seidenberg A., (1968), Amer. J. Math., 90, pp. 248, 10.2307/2373435
  • Suwa T., (1995), Proc. Amer. Math. Soc., 123, pp. 2989, 10.1090/S0002-9939-1995-1291793-0
  • Teissier B., (1973), Astérisque, 7, pp. 285
  • Wall C. T. C., (2004), Singular Points of Plane Curves, 63, 10.1017/CBO9780511617560
  • Zariski O., (2006), The Moduli Problem for Plane Branches, 39, 10.1090/ulect/039