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SUMMARY:Anti-Iitaka inequality in positive characteristic
DTSTART:20260409T083000Z
DTEND:20260409T093000Z
DTSTAMP:20260412T032300Z
UID:indico-event-15388@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marta Benozzo (Paris-Saclay)\n\nA guiding problem in
  algebraic geometry is the classification of varieties. In dimension 1\, t
 he main invariant for their classification is the genus. Similarly\, in hi
 gher dimension we study positivity properties of the canonical divisor and
  a first measure of these is its Iitaka dimension.A long-standing problem 
 is how we can relate Iitaka dimensions in fibrations: the Iitaka conjectur
 es. Recently\, Chang proved an inequality for the Iitaka dimensions of the
  anticanonical divisors in fibrations over fields of characteristic 0. Bot
 h Iitaka’s conjecture and Chang’s theorem are known to fail in positiv
 e characteristic. However\, in a joint work with Brivio and Chang\, we pro
 ve that anti-Iitaka holds when the “arithmetic properties” of the anti
 canonical divisor are sufficiently good.\n\nhttps://indico.math.cnrs.fr/ev
 ent/15388/
URL:https://indico.math.cnrs.fr/event/15388/
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