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Baro, E. and Vicente, J. de and Otero, M.
(2018)
*An extension result for maps admitting and algebraic addition theorem.*
Journal of Geometric Analysis, 29
(1).
pp. 316-327.
ISSN 1559-002X

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Official URL: https://link.springer.com/article/10.1007/s12220-018-9992-7

## Abstract

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.

Item Type: | Article |
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Additional Information: | International Program of Excellence in |

Uncontrolled Keywords: | Álgebra |

Palabras clave (otros idiomas): | Algebraic addition theorem, Rational addition theorem, Nash groups |

Subjects: | Sciences > Mathematics Sciences > Mathematics > Algebra |

ID Code: | 54657 |

Deposited On: | 12 Mar 2019 12:45 |

Last Modified: | 13 Mar 2019 12:04 |

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