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Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2016

LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS

Résumé

We explain which Weierstrass ${\wp}$ -functions are locally definable from other ${\wp}$ -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.

Dates et versions

hal-03263133 , version 1 (17-06-2021)

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Gareth Jones, Jonathan Kirby, Tamara Servi. LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS. Journal of the Institute of Mathematics of Jussieu, 2016, 15 (4), pp.673-691. ⟨10.1017/S1474748014000425⟩. ⟨hal-03263133⟩
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