Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

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date:

2023-10-12 16:00:00

Abstract

We extend our previous classification of stacky curves in positive characteristic using higher ramification data and Artin-Schreier-Witt theory. The main new technical tool introduced is the Artin-Schreier-Witt root stack, a generalization of root stacks to the wildly ramified setting. We then apply our wild Riemann-Hurwitz theorem for stacks to compute the canonical rings of some wild stacky curves.