Nef line bundles over finite fields

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• Adrian Langer (Warsaw)
• Wednesday 08 February 2012, 14:15-15:15
• MR4, CMS.

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

I will give a survey on vanishing theorems for line bundles on varieties in positive characteristic. Recently, Bhargav Bhatt proved an interesting theorem allowing to kill cohomology of multiples of semiample line bundles. I will show that how to use Burt Totaro’s examples of non-semiample nef line bundles on smooth projective surfaces over finite fields to construct nef line bundles for which killing cohomology is not possible. I will also prove a new vanishing theorem for strictly nef line bundles on projective varieties defined over finite fields.

This talk is part of the Algebraic Geometry Seminar series.

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