Patakfalvi, ZsoltWaldron, Joe2022-04-112022-04-112022-04-112022-04-0110.1353/ajm.2022.0009https://infoscience.epfl.ch/handle/20.500.14299/186977WOS:000773310900004We use the theory of foliations to study the relative canonical divisor of a normalized inseparable base-change. Our main technical theorem states that it is linearly equivalent to a divisor with positive integer coefficients divisible by p - 1. We deduce many consequences about the fibrations of the minimal model program: for example the general fibers of terminal Mori fiber spaces of relative dimension 2 are normal in characteristic p >= 5 and smooth in characteristic p >= 11.Mathematicsdel pezzo surfacestext::journal::journal article::research article