Thin sets in weighted projective stacks

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Authors: Stephanie Chan, Daniel Loughran, Nick Rome
Cited by: 0

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 $100\%$ of hyperelliptic curves do not admit a prescribed on-trivial level structure.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 February 2026
Document type
Preprint