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arXiv · 1610.03403

On the Abundance Problem for $3$-folds in characteristic $p>5$

Omprokash Das·Joe Waldron
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Abstract

In this article we prove two cases of the abundance conjecture for $3$-folds in characteristic $p>5$: $(i)$ $(X, Δ)$ is KLT and $κ(X, K_X+Δ)=1$, and $(ii)$ $(X, 0)$ is KLT, $K_X\equiv 0$ and $X$ is not uniruled.

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Omprokash Das, Joe Waldron. 2018-08-30. On the Abundance Problem for $3$-folds in characteristic $p>5$. https://doi.org/10.1007/s00209-018-2110-5

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