Por Giuseppina Terzo (Universitá degli studi di Napoli Federico II).

Assuming Schanuel’s Conjecture we prove that for any irreducible variety $V ⊆ C^n ×(C^*)^n$ over the algebraic closure of rational numbers, of dimension $n$, and with dominant projections on both the first $n$ coordinates and the last $n$ coordinates, there exists a generic point $(a,exp(a)) ∈ V$. We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber.

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