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UID:5508@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250410T110000
DTEND;TZID=Europe/Paris:20250410T120000
DTSTAMP:20250401T141647Z
URL:https://www.i2m.univ-amu.fr/evenements/benozzo/
SUMMARY:Marta Benozzo (Université Paris-Saclay): Anti-Iitaka conjecture in
  positive characteristic
DESCRIPTION:Marta Benozzo: A guiding problem in algebraic geometry is the c
 lassification of varieties. In dimension 1\, the main invariant for their 
 classification is the genus. Similarly\, in higher dimension we study pos
 itivity properties of the canonical divisor and a first measure of these i
 s its Iitaka dimension.\nA long-standing problem is how we can relate Iita
 ka dimensions in fibrations: the Iitaka conjectures. Recently\, Chang prov
 ed an inequality for the Iitaka dimensions of the anticanonical divisors i
 n fibrations over fields of characteristic 0. Both Iitaka’s conjecture a
 nd Chang’s theorem are known to fail in positive characteristic. However
 \, in a joint work with Brivio and Chang\, we prove that anti-Iitaka holds
  when the “arithmetic properties” of the anticanonical divisor are suf
 ficiently good.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 024/10/media-e1730222209563.jpg
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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DTSTART:20250330T030000
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