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arxiv: 2402.14969 · v2 · pith:FPRLISYTnew · submitted 2024-02-22 · 🧮 math.AG · math.NT

Turning non-smooth points into rational points

classification 🧮 math.AG math.NT
keywords boundnon-smoothpointpointsrationalauthorcharacteristiccurve
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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 purely inseparable point on a regular geometrically integral curve into a rational point. In this paper we improve this result, by establishing a new bound that is sharp in every characteristic $p>0$.

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