On the relative minimal model program for fourfolds in positive and mixed characteristic

Christopher Hacon, Jakub Witaszek

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We show the validity of two special cases of the four-dimensional minimal model program (MMP) in characteristic 5 ]]>: for contractions to-factorial fourfolds and in families over curves ('semistable MMP'). We also provide their mixed characteristic analogues. As a corollary, we show that liftability of positive characteristic threefolds is stable under the MMP and that liftability of three-dimensional Calabi-Yau varieties is a birational invariant. Our results are partially contingent upon the existence of log resolutions.

Original languageEnglish (US)
Article numbere10
JournalForum of Mathematics, Pi
Volume11
DOIs
StatePublished - Mar 24 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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