2023/10/13 by Andrew Kobin, Kobin, Andrew · 1 citation
Computer Science · Mathematics · #11S15 #14D23 #14Q05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2310.09161
openalex publication_date 2023/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.