English

Tame nodal stacky curves

Algebraic Geometry 2025-10-14 v2

Abstract

In this paper we analyze the properties of tame nodal stacky curves, in particular twisted curves and \textit{doubly-twisted} curves. Our main results are a complete classification of the possible structures of a tame stacky node, along with computations of the Picard and Brauer groups of nodal stacky curves.

Keywords

Cite

@article{arxiv.2509.20629,
  title  = {Tame nodal stacky curves},
  author = {Martin Bishop and William C. Newman},
  journal= {arXiv preprint arXiv:2509.20629},
  year   = {2025}
}

Comments

21 pages. Added the case of separating nodes, and some small revisions

R2 v1 2026-07-01T05:55:07.301Z