Semiabelian varieties and transcendence on Weierstrass sigma functions
Abstract We establish new results on complex and $p$ -adic linear independence on a class of semiabelian varieties. As applications, we obtain transcendence results concerning complex and $p$ -adic Weierstrass sigma functions associated with elliptic curves.
Authors
- Duc Hiep Pham (ORCID: https://orcid.org/0000-0002-5405-1204)
Institutions
- Hanoi National University of Education (VN)
- Vietnam National University, Hanoi (VN)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2024-11-25
- DOI
- https://doi.org/10.1017/s0017089524000272
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00