Three counterexamples concerning the Northcott property of fields
Number Theory
2017-08-23 v1
Abstract
We give three examples of fields concerning the Northcott property on elements of small height: The first one has the Northcott property but its Galois closure does not satisfy the Bogomolov property. The second one has the Northcott property and is pseudo-algebraically closed, i.e. every variety has a dense set of rational points. The third one has bounded local degree at infinitely many rational primes but does not have the Northcott property.
Cite
@article{arxiv.1708.06599,
title = {Three counterexamples concerning the Northcott property of fields},
author = {Arno Fehm},
journal= {arXiv preprint arXiv:1708.06599},
year = {2017}
}
Comments
5 pages