Turning non-smooth points into rational points

Published 22 Feb 2024 in math.AG and math.NT | (2402.14969v1)

Abstract: In a 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 $p > 0$.

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Authors (1)

Cesar Hilario

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