Abstract
We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use of the predimension method from model theory to exploit functional transcendence theorems in a systematic way.
| Original language | English |
|---|---|
| Pages (from-to) | 673–691 |
| Number of pages | 19 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 15 |
| Issue number | 4 |
| Early online date | 24 Nov 2014 |
| DOIs | |
| Publication status | Published - Oct 2016 |
Keywords
- 03C64 11U09
- o-minimality
- local definability
- predimension
- Weierstrass p-function
Profiles
-
Jonathan Kirby
- School of Engineering, Mathematics and Physics - Reader
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching & Research