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Preprint Number 345
345. Jonathan Kirby, Boris Zilber
Exponential fields and atypical intersections
Submission date: 4 August 2011.
We give an axiomatization of a class of exponential fields including the pseudo-exponential fields previously introduced by the second author, which is tame (superstable) over its interpretation of arithmetic. This class is exactly the elementary class of pseudo-exponential fields if and only if the diophantine conjecture CIT on atypical intersections of tori with subvarieties is true.
Mathematics Subject Classification: 03C65, 11G35
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