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 (a¯ , ea¯) ∈ V. We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber in [20].
A weak version of the strong exponential closure / D'Aquino P.; Fornasiero A.; Terzo G.. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - ELETTRONICO. - 242:(2021), pp. 697-705. [10.1007/s11856-021-2141-1]
A weak version of the strong exponential closure
Fornasiero A.;
2021
Abstract
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 (a¯ , ea¯) ∈ V. We obtain in this way many instances of the Strong Exponential Closure axiom introduced by Zilber in [20].
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exponential-closure_DFT_IJM-21.pdf
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