English

Genus one half stacky curves violating the local-global principle

Number Theory 2022-03-14 v1 Algebraic Geometry

Abstract

For any number field, we prove that there exists a stacky curve of genus one half defined over the ring of its integers violating the local-global principle for integral points.

Cite

@article{arxiv.2203.05810,
  title  = {Genus one half stacky curves violating the local-global principle},
  author = {Han Wu and Chang Lv},
  journal= {arXiv preprint arXiv:2203.05810},
  year   = {2022}
}
R2 v1 2026-06-24T10:09:42.569Z