# On the relative Minimal Model Program for threefolds in low characteristics

Research paper by Christopher Hacon, Jakub Witaszek

Indexed on: 01 Oct '19Published on: 27 Sep '19Published in: arXiv - Mathematics - Algebraic Geometry

#### Abstract

We show the validity of the relative dlt MMP over Q-factorial threefolds in all characteristics p>0. As a corollary, we generalise many recent results to low characteristics including: $W\mathcal{O}$-rationality of klt singularities, inversion of adjunction, normality of divisorial centres up to a universal homeomorphism, and the existence of rational points on log Fano threefolds.