University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Behavior of canonical divisors under purely inseparable base change

Behavior of canonical divisors under purely inseparable base change

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  • UserHiromu Tanaka (Imperial College)
  • ClockWednesday 27 January 2016, 14:15-15:15
  • HouseCMS MR13.

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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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