## Algebraic Geometry Seminar

Kenta Sato

University of Tokyo

General hyperplane sections of 3-folds in positive characteristic

**Abstract:**Since the Bertini theorem for free linear series fails in positive characteristic, it is not clear whether a general hyperplane section of a klt 3-fold in positive characteristic has only klt singularities or not. We give an affirmative answer when the characteristic is larger than 5. This talk is based on joint work with Professor Shunsuke Takagi.

Wednesday April 19, 2017 at 4:00 PM in SEO 427