On meromorphic mappings admitting an Algebraic Addition Theorem
| dc.creator | Villarino, Mark B. | |
| dc.date | 1998-06-13 | |
| dc.date.accessioned | 2026-07-07T05:25:03Z | |
| dc.date.available | 2026-07-07T05:25:03Z | |
| dc.description | A proper or singular abelian mapping from $C^n$ to $\bar\C^n$ is parametrized by $n$ meromorphic functions with at most $2n$ periods. We develop the existence and structure theorems of the classical theory of an abelian mapping purely on the basis of its defining functional equation, the so-called algebraic addition theorem (AAT), with no appeal to any representation as quotients of theta functions. We offer two new proofs of the periodicity of a nonrational mapping admitting an AAT. We also prove by new arguments the existence of a rational group law on an associated algebraic variety, and that all proper and singular abelian mappings do admit an AAT. | |
| dc.description | 20 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9806078 | |
| dc.identifier | http://arxiv.org/abs/math/9806078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77042 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H04 (Primary), 32J10, 14K20 (Secondary) | |
| dc.title | On meromorphic mappings admitting an Algebraic Addition Theorem | |
| dc.type | text |