Turning non-smooth points into rational points
Algebraic Geometry
2024-02-26 v1 Number Theory
Abstract
In a recent paper, the author and St\"ohr established a bound on the number of iterated Frobenius pullbacks needed to transform a non-smooth non-decomposed point on a regular geometrically integral curve into a rational point. In this note we improve this result, by establishing a new bound that is sharp in every characteristic .
Keywords
Cite
@article{arxiv.2402.14969,
title = {Turning non-smooth points into rational points},
author = {Cesar Hilario},
journal= {arXiv preprint arXiv:2402.14969},
year = {2024}
}
Comments
12 pages. Comments are very welcome!