Assuming Schanuel’s Conjecture we prove that for any irreducible variety V ⊆ ℂⁿ × (ℂ*)ⁿ over ℚ^alg, of dimension n, and with dominant projections on both the first n coordinates and the last n coordinates, there exists a generic point \(\left( {\overline a ,{e^{\overline a }}} \right) \in V\). We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber in [20].

中文翻译：

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强指数封闭的弱版本

假设Schanuel猜想证明了任何束缚各种V ⊆ℂ ^ñ ×（ℂ*）^ñ在ℚ ^ALG，尺寸ñ，并与第一显性预测ñ坐标，最后ñ坐标，存在一个通用的点\ （\ left（{\ overline a，{e ^ {\ overline a}}}} \ right）\ in V \）。我们以这种方式获得了Zilber在[20]中引入的强指数闭合公理的许多实例。