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Preprint Number 345

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345. Jonathan Kirby, Boris Zilber
Exponential fields and atypical intersections
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Submission date: 4 August 2011.

Abstract:

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

Keywords and phrases:

Full text arXiv 1108.1075: pdf, ps.


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