Exponentially Closed Fields and the Conjecture on Intersections with Tori
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Kirby, Jonathan and Zilber, Boris (2014) Exponentially Closed Fields and the Conjecture on Intersections with Tori. Annals of Pure and Applied Logic, 165 (11). pp. 1680-1706. ISSN 0168-0072
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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.
Item Type: | Article |
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Uncontrolled Keywords: | math.lo,03c65, 11g35,exponential fields,anomalous intersections,schanuel's conjecture,predimension |
Faculty \ School: | Faculty of Science > School of Mathematics |
Depositing User: | Pure Connector |
Date Deposited: | 26 Nov 2014 14:26 |
Last Modified: | 05 Feb 2021 00:55 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/50700 |
DOI: | 10.1016/j.apal.2014.06.002 |
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