Artin-Schreier-Witt Theory for Stacky Curves
Algebraic Geometry
2025-09-19 v3 Number Theory
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.
Cite
@article{arxiv.2310.09161,
title = {Artin-Schreier-Witt Theory for Stacky Curves},
author = {Andrew Kobin},
journal= {arXiv preprint arXiv:2310.09161},
year = {2025}
}
Comments
26 pages; condensed background material, added Subsection 5.1 extending main theorem to cyclic-by-tame automorphisms