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

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 $p>5$.

21 pages. Comments are welcome! arXiv admin note: text overlap with arXiv:2009.02631 by other authors

References in corpus (3)

• Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
• The Minimal Model Program for threefolds in characteristic five
• Relative semiampleness in mixed characteristic