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oai: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. 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. 2023-06-17T13:20:34Z 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 Springer