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arXiv · 2602.05705

Thin sets in weighted projective stacks

Stephanie Chan·Daniel Loughran·Nick Rome
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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.

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Stephanie Chan, Daniel Loughran, Nick Rome. 2026-02-05. Thin sets in weighted projective stacks. https://arxiv.org/abs/2602.05705

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