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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. 316327. ISSN 1559002X

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Official URL: https://link.springer.com/article/10.1007/s1222001899927
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 

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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