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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:On the canonical bundle formula in positive charac
teristic - Marta Benozzo\, UCL
DTSTART;TZID=Europe/London:20240221T141500
DTEND;TZID=Europe/London:20240221T151500
UID:TALK211159AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/211159
DESCRIPTION:An important problem in birational geometry is try
ing to relate in a meaningful way the canonical bu
ndles of the source and the base of a fibration. T
he first instance of such a formula is Kodaira’s c
anonical bundle formula for surfaces which admit a
fibration with elliptic fibres. It describes the
relation between the canonical bundles in terms of
the singularities of the fibres and their j-invar
iants.\n\nIn higher dimension\, we do not have an
equivalent of the j-invariant\, but we can still d
efine a moduli part. Over fields of characteristic
0\, positivity properties of the moduli part have
been studied using variations of Hodge structures
. Recently\, the problem has been approached with
techniques from the minimal model program. These m
ethods can be used to prove a canonical bundle for
mula result in positive characteristic.\n
LOCATION:CMS MR13
CONTACT:Holly Krieger
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