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SUMMARY:Nef line bundles over finite fields - Adrian Langer (Warsaw)
DTSTART:20120208T141500Z
DTEND:20120208T151500Z
UID:TALK35299@talks.cam.ac.uk
CONTACT:Caucher Birkar
DESCRIPTION:I will give a survey on vanishing theorems for line bundles\no
 n varieties in positive characteristic. Recently\, Bhargav Bhatt\nproved a
 n interesting theorem allowing to kill cohomology of\nmultiples of semiamp
 le line bundles. I will show that\nhow to use Burt Totaro's examples of no
 n-semiample nef line bundles on smooth projective\nsurfaces over finite fi
 elds to construct nef line bundles for which killing cohomology is not\npo
 ssible.\nI will also prove a new vanishing theorem for strictly nef line b
 undles\non projective varieties defined over finite fields.
LOCATION:MR4\, CMS
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