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SUMMARY:On the canonical bundle formula in positive characteristic - Marta
  Benozzo\, UCL
DTSTART:20240221T141500Z
DTEND:20240221T151500Z
UID:TALK211159@talks.cam.ac.uk
CONTACT:Holly Krieger
DESCRIPTION:An important problem in birational geometry is trying to relat
 e in a meaningful way the canonical bundles of the source and the base of 
 a fibration. The first instance of such a formula is Kodaira’s canonical
  bundle formula for surfaces which admit a fibration with elliptic fibres.
  It describes the relation between the canonical bundles in terms of the s
 ingularities of the fibres and their j-invariants.\n\nIn higher dimension\
 , we do not have an equivalent of the j-invariant\, but we can still defin
 e a moduli part. Over fields of characteristic 0\, positivity properties o
 f the moduli part have been studied using variations of Hodge structures. 
 Recently\, the problem has been approached with techniques from the minima
 l model program. These methods can be used to prove a canonical bundle for
 mula result in positive characteristic.\n
LOCATION:CMS MR13
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