Exponentially Closed Fields and the Conjecture on Intersections with Tori
Logic
2014-10-28 v2
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.
Keywords
Cite
@article{arxiv.1108.1075,
title = {Exponentially Closed Fields and the Conjecture on Intersections with Tori},
author = {Jonathan Kirby and Boris Zilber},
journal= {arXiv preprint arXiv:1108.1075},
year = {2014}
}
Comments
27 pages, substantial improvements to the presentation