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arXiv · 2110.03115

On the termination of the MMP for semi-stable fourfolds in mixed characteristic

Lingyao Xie·Qingyuan Xue
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Abstract

We improve on the result of Hacon and Witaszek by showing that the MMP for semi-stable fourfolds in mixed characteristic terminates in several new situations. In particular, we show the validity of the MMP for strictly semi-stable fourfolds over excellent Dedekind schemes globally when the residue fields are perfect and have characteristics $p>5$.

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Lingyao Xie, Qingyuan Xue. 2021-10-07. On the termination of the MMP for semi-stable fourfolds in mixed characteristic. https://arxiv.org/abs/2110.03115

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