2026-06-01T07:36:28Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/131602024-09-19T11:09:44Zcom_20.500.14352_14col_20.500.14352_15
An extension result for maps admitting and algebraic addition theorem
Baro González, Elías
Vicente, J. de
Otero, M.
512
Álgebra
Algebraic addition theorem
Rational addition theorem
Nash groups
Matemáticas (Matemáticas)
Álgebra
12 Matemáticas
1201 Álgebra
International Program of Excellence in
Mathematics at Universidad Autónoma de Madrid
We prove that if an analytic map : U [flecha] Cn, where U [incluye] C [elevado a ] n is an open neighborhood of the origin, admits an algebraic addition theorem then, there exists a meromorphic map g : C [elevado a]n [flecha] C [elevado a]n admitting an algebraic addition theorem such that each coordinate function of f is algebraic over C(g) on U (this was proved by K. Weierstrass for n = 1). Furthermore, g admits a rational addition theorem.
Ministerio de Ciencia e Innovación (España)
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-17T13:20:34Z
2023-06-17T13:20:34Z
2018
journal article
https://hdl.handle.net/20.500.14352/13160
1559-002X
10.1007/s12220-018-9992-7
eng
info:eu-repo/grantAgreement/MICINN//MTM2011-22435-E/ES
info:eu-repo/grantAgreement/MICINN//MTM2014-55565-E/ES
Baro, E., J. De Vicente, y M. Otero. «An Extension Result for Maps Admitting an Algebraic Addition Theorem». The Journal of Geometric Analysis 29, n.o 1 (enero de 2019): 316-27. https://doi.org/10.1007/s12220-018-9992-7.
open access
application/pdf
Springer