Local interdefinability of Weierstrass elliptic functions

Gareth Jones, Jonathan Kirby, Tamara Servi

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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 languageEnglish
Pages (from-to)673–691
JournalJournal of the Institute of Mathematics of Jussieu
Volume15
Issue number4
Early online date24 Nov 2014
DOIs
Publication statusPublished - Oct 2016

Keywords

  • 03C64 11U09
  • o-minimality
  • local definability
  • predimension
  • Weierstrass p-function

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