Presents a complete proof of algebraic addition theorems in meromorphic function fields, clarifying previous rough explanations.
Let K be a subfield of the meromorphic function field on Cⁿ which has the transcendence degree n over C. There are two ways of stating an algebraic addition theorem for K. The author wrote the relation of these two ways in a book [Toroidal Groups, Yokohama Publishers, Inc., Yokohama, 2018]. However, the explanation was too rough. In this paper, the detailed complete proof is given.
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Yukitaka Abe (2019) studied this question.
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