3 problems

Let $\mathbb{C}_{\mathrm{exp}}$ denote the complex exponential field and let $\mathbb{B}_{\mathrm{exp}}$ denote Zilber's quasiminimal excellent exponential field constructed by the…

Zilber's quasiminimality conjecture. Every such invariant subset of $\mathbb{C}$ is countable or cocountable; equivalently, $\mathbb{C}_{\operatorname{exp}}$ is quasiminimal.

Let $\exp$ denote complex exponentiation, and let $\{E_i\}$ be any countable set of complex elliptic curves, with associated maps $\exp_{E_i}$. Generalized quasiminimality conjectu…