A geometric interpretation of the Hasse-Arf theorem

TL;DR

This paper provides a geometric perspective on the Hasse-Arf theorem for function fields, leveraging the recently proven Oort conjecture to deepen understanding of ramification in algebraic geometry.

Contribution

It introduces a novel geometric interpretation of the Hasse-Arf theorem, connecting it with recent advances in the Oort conjecture.

Findings

Geometric interpretation of Hasse-Arf theorem established

Connection between ramification and geometric structures clarified

Utilizes recent proof of Oort conjecture to enhance understanding

Abstract

We give an a geometric interpretation of the Hasse-Arf theorem for function fields using the recently proved Oort conjecture.