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arXiv · 1108.1075

Exponentially Closed Fields and the Conjecture on Intersections with Tori

Jonathan Kirby·Boris Zilber
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Abstract

We give an axiomatization of the class ECF of exponentially closed fields, which includes the pseudo-exponential fields previously introduced by the second author, and show that it is superstable over its interpretation of arithmetic. Furthermore, ECF is exactly the elementary class of the pseudo-exponential fields if and only if the diophantine conjecture CIT on atypical intersections of tori with subvarieties is true.

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Jonathan Kirby, Boris Zilber. 2011-08-04. Exponentially Closed Fields and the Conjecture on Intersections with Tori. https://doi.org/10.1016/j.apal.2014.06.002

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