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A Weak Version of the Strong Exponential Closure
Israel Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1007/s11856-021-2141-1
Paola D’Aquino , Antongiulio Fornasiero , G. Terzo

Assuming Schanuel’s Conjecture we prove that for any irreducible variety V ⊆ ℂn × (ℂ*)n over ℚalg, 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:

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。

更新日期:2021-05-07
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