Assuming Schanuel’s Conjecture we prove that for any irreducible variety V ⊆ ℂ^n × (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 (overline a , e^overline n) ∈ V. We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber.
A weak version of the strong exponential closure / Terzo, Giuseppina; D'Aquino, Paola; Fornasiero, Antongiulio. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 242:2(2021), pp. 697-705. [10.1007/s11856-021-2141-1]
A weak version of the strong exponential closure
Giuseppina Terzo;
2021
Abstract
Assuming Schanuel’s Conjecture we prove that for any irreducible variety V ⊆ ℂ^n × (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 (overline a , e^overline n) ∈ V. We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber.File in questo prodotto:
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