Singularities of general fibers in positive characteristic
-- Joe Waldron, March 30, 2018

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Generic smoothness fails to hold for some fibrations in positive characteristic. We study consequences of this failure, in particularly by obtaining a canonical bundle formula relating a fiber with the normalization of its maximal reduced subscheme. This has geometric consequences, including that generic smoothness holds on terminal Mori fiber spaces of relative dimension two in characteristic p at least 11. This is joint work with Zsolt Patakfalvi.