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SUMMARY:Weak positivity theorem and Frobenius stable canonical rings of ge
 ometric generic fibers - Sho Ejiri (Tokyo)
DTSTART:20151123T163000Z
DTEND:20151123T173000Z
UID:TALK62047@talks.cam.ac.uk
CONTACT:Caucher Birkar
DESCRIPTION:In characteristic zero\, Fujita\, Kawamata\, Viehweg\, Fujino 
 and many others\nshowed semi positivity theorems and weak positivity theor
 ems which are important re-\nsults on the positivity of direct images of r
 elative pluricanonical bundles. However\, in\npositive characteristic\, th
 ere are counter-examples to these theorems. In this talk\, we\nshow that a
 n analogue of weak positivity theorems holds in positive characteristic\, 
 when\nthe canonical ring of the geometric generic fiber F is finitely gene
 rated and the Frobenius stable canonical ring of F is large enough.
LOCATION:CMS MR4
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