English

Thin sets in weighted projective stacks

Number Theory 2026-02-06 v1 Algebraic Geometry

Abstract

We prove an upper bound for the number of rational points of bounded height in a weighted projective stack which lie in a given thin subset. As a consequence, we show that 100%100\% of hyperelliptic curves do not admit a prescribed on-trivial level structure.

Keywords

Cite

@article{arxiv.2602.05705,
  title  = {Thin sets in weighted projective stacks},
  author = {Stephanie Chan and Daniel Loughran and Nick Rome},
  journal= {arXiv preprint arXiv:2602.05705},
  year   = {2026}
}

Comments

16 pages

R2 v1 2026-07-01T09:37:59.261Z