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Title: On the relative minimal model program for fourfolds in positive and mixed characteristic
Abstract We show the validity of two special cases of the four-dimensional minimal model program (MMP) in characteristic $p>5$ : for contractions to $${\mathbb {Q}}$$ -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.  more » « less
Award ID(s):
1801851 1952522 2306854 1928930
PAR ID:
10410277
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Forum of Mathematics, Pi
Volume:
11
ISSN:
2050-5086
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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