Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 677

Preprint Number 677

Previous Next Preprint server

677. Juan Diego Caycedo and Boris Zilber
Natural models of theories of green points

Submission date: 14 January 2014


We explicitly present expansions of the complex field which are models of the theories of green points in the multiplicative group case and in the case of an elliptic curve without complex multiplication defined over $\mathbb{R}$. In fact, in both cases we give families of structures depending on parameters and prove that they are all models of the theories, provided certain instances of Schanuel's conjecture or an analogous conjecture for the exponential map of the elliptic curve hold. In the multiplicative group case, however, the results are unconditional for generic choices of the parameters.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1401.3326: pdf, ps.

Last updated: March 23 2021 10:22 Please send your corrections to: