Campana points on quadrics with hyperplane boundary

Dasheng Wei

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arXiv · 2611.09148

Campana points on quadrics with hyperplane boundary

Dasheng Wei

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Abstract

Let $Q\subset\mathbf P^{d+1}_k$ be a smooth quadric of dimension $d\ge2$ over a number field, and let $H_i=Q\capΠ_i$ be hyperplane sections for $1\le i\le d$. For every integer $m\ge2$, we prove Campana strong approximation for the pair $\bigl(Q,(1-1/m)(H_1+\cdots+H_d)_{\mathrm{red}}\bigr)$.

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Dasheng Wei. 2026-11-06. Campana points on quadrics with hyperplane boundary. https://arxiv.org/abs/2611.09148

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