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math.CV1998
On meromorphic mappings admitting an Algebraic Addition Theorem
Mark B. Villarino
A proper or singular abelian mapping from to $\bar\C^n$ is parametrized by meromorphic functions with at most periods. We develop the existence and structure theorem…
math.CV1998
Abelian functions satisfy an Algebraic Addition Theorem
Mark B. Villarino
We prove that n independent abelian functions admit an algebraic addition theorem, with no appeal to theta functions.