Behavior of canonical divisors under purely inseparable base change

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• Hiromu Tanaka (Imperial College)
• Wednesday 27 January 2016, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

For a regular variety over an imperfect field, we study the behavior of the canonical bundle under purely inseparable base changes. We obtain some applications over algebraically closed fields of positive characteristic: a general fiber of a Mori fiber space is rationally chain connected, and a K-trivial fibration with non-normal fibers is uniruled like quasi-elliptic fibrations.

This talk is part of the Algebraic Geometry Seminar series.

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