Exponential fields and atypical intersections

Details Exponential fields and atypical intersections Exponential fields and atypical intersections

2011-08-04

arxiv.org/abs/1108.1075v1

Mathematics

Logic

25 pages

Scientific paper

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.

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