## Advanced Studies in Pure Mathematics

### Uniqueness problem for meromorphic mappings under conditions on the preimages of divisors

Yoshihiro Aihara

#### Abstract

We first give a finiteness theorem for meromorphic mappings. Next, we give conditions under which two holomorphic mappings from a finite analytic covering space over the complex $m$-space into a smooth elliptic curve are algebraically related.

#### Article information

Dates
First available in Project Euclid: 3 January 2019

https://projecteuclid.org/ euclid.aspm/1546542835

Digital Object Identifier
doi:10.2969/aspm/04210031

Mathematical Reviews number (MathSciNet)
MR2087036

Zentralblatt MATH identifier
1076.32008

#### Citation

Aihara, Yoshihiro. Uniqueness problem for meromorphic mappings under conditions on the preimages of divisors. Complex Analysis in Several Variables — Memorial Conference of Kiyoshi Oka's Centennial Birthday, Kyoto/Nara 2001, 31--35, Mathematical Society of Japan, Tokyo, Japan, 2004. doi:10.2969/aspm/04210031. https://projecteuclid.org/euclid.aspm/1546542835