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arXiv · 2608.14236

The cone theorem for effective fourfold pairs in characteristic $p>5$

Joe Waldron
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Abstract

Assuming the log resolution conjecture for all log pairs birational to $X$, we prove the cone theorem for projective log canonical, $\mathbb{Q}$-factorial fourfold pairs $(X,\Delta)$ such that $K_X +\Delta\equiv M \geq 0$ over bases of positive and mixed characteristic $p > 5$.

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Joe Waldron. 2026-08-14. The cone theorem for effective fourfold pairs in characteristic $p>5$. https://arxiv.org/abs/2608.14236

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