A virtually ample field that is not ample
Algebraic Geometry
2022-10-17 v1 Number Theory
Abstract
A field is called ample if for every geometrically integral -variety with a smooth -point, is Zariski-dense in . A field is virtually ample if some finite extension of is ample. We prove that there exists a virtually ample field that is not ample.
Cite
@article{arxiv.1810.05184,
title = {A virtually ample field that is not ample},
author = {Padmavathi Srinivasan},
journal= {arXiv preprint arXiv:1810.05184},
year = {2022}
}