Local interdefinability of Weierstrass elliptic functions

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.

References in corpus (1)

• The theory of the exponential differential equations of semiabelian varieties

Cited by in corpus (6)

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• Powers are easy to avoid
• Nondefinability results for elliptic and modular functions