On n-th roots of meromorphic maps

Juan C. García; Rubén A. Hidalgo

doi:10.15446/recolma.v54n1.89789

Published

2020-01-01

On n-th roots of meromorphic maps

Sobre raíces n-ésimas de funciones meromorfas

DOI:

https://doi.org/10.15446/recolma.v54n1.89789

Keywords:

Riemann surfaces, holomorphic branched coverings, maps (en)
Superficies de Riemann, cubrimientos ramificados holomorfos, mapas (es)

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Authors

Juan C. García Universidad Central del Ecuador
Rubén A. Hidalgo Universidad de La Frontera

Abstract (en)
Abstract (es)

Let S be a connected Riemann surface and let φ: S → Ĉ be
branched covering map of nite type. If n ≥ 2,then we describe a simple geometrical necessary and sucient condition for the existence of some n-th root, that is, a meromorphic map ψ: S → Ĉ such that φ = ψⁿ.

Sea S una superficie de Riemann conexa y φ: S → Ĉ un cubrimiento ramificado holomorfo de tipo finito. Para cada n ≥ 2 describimos una condición geométrica necesaria y suficiente para la existencia de alguna raíz n-ésima, esto es, una función meromorfa ψ: S → Ĉ de manera que φ = ψⁿ.

References

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How to Cite

APA

García, J. C. and Hidalgo, R. A. (2020). On n-th roots of meromorphic maps. Revista Colombiana de Matemáticas, 54(1), 65–74. https://doi.org/10.15446/recolma.v54n1.89789

ACM

[1]

García, J.C. and Hidalgo, R.A. 2020. On n-th roots of meromorphic maps. Revista Colombiana de Matemáticas. 54, 1 (Jan. 2020), 65–74. DOI:https://doi.org/10.15446/recolma.v54n1.89789.

ACS

(1)

García, J. C.; Hidalgo, R. A. On n-th roots of meromorphic maps. rev.colomb.mat 2020, 54, 65-74.

ABNT

GARCÍA, J. C.; HIDALGO, R. A. On n-th roots of meromorphic maps. Revista Colombiana de Matemáticas, [S. l.], v. 54, n. 1, p. 65–74, 2020. DOI: 10.15446/recolma.v54n1.89789. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/89789. Acesso em: 2 feb. 2025.

Chicago

García, Juan C., and Rubén A. Hidalgo. 2020. “On n-th roots of meromorphic maps”. Revista Colombiana De Matemáticas 54 (1):65-74. https://doi.org/10.15446/recolma.v54n1.89789.

Harvard

García, J. C. and Hidalgo, R. A. (2020) “On n-th roots of meromorphic maps”, Revista Colombiana de Matemáticas, 54(1), pp. 65–74. doi: 10.15446/recolma.v54n1.89789.

IEEE

[1]

J. C. García and R. A. Hidalgo, “On n-th roots of meromorphic maps”, rev.colomb.mat, vol. 54, no. 1, pp. 65–74, Jan. 2020.

MLA

García, J. C., and R. A. Hidalgo. “On n-th roots of meromorphic maps”. Revista Colombiana de Matemáticas, vol. 54, no. 1, Jan. 2020, pp. 65-74, doi:10.15446/recolma.v54n1.89789.

Turabian

García, Juan C., and Rubén A. Hidalgo. “On n-th roots of meromorphic maps”. Revista Colombiana de Matemáticas 54, no. 1 (January 1, 2020): 65–74. Accessed February 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/89789.

Vancouver

1.

García JC, Hidalgo RA. On n-th roots of meromorphic maps. rev.colomb.mat [Internet]. 2020 Jan. 1 [cited 2025 Feb. 2];54(1):65-74. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/89789