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SUMMARY:Cinzia Casagrande (Torino)
DTSTART:20210224T113000Z
DTEND:20210224T123000Z
DTSTAMP:20260412T203010Z
UID:fano2021/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fano2021/6/"
 >On Fano 4-folds with Lefschetz defect 3</a>\nby Cinzia Casagrande (Torino
 ) as part of Fano Varieties and Birational Geometry\n\n\nAbstract\nWe will
  talk about a classification result for some (smooth\, complex) Fano 4-fol
 ds. We recall that if X is a Fano 4-fold\, the Lefschetz defect delta(X) i
 s an invariant of X defined as follows. Consider a prime divisor D in X an
 d the restriction r: H^2(X\,R)->H^2(D\,R). Then delta(X) is the maximal di
 mension of ker(r)\, where D varies among all prime divisors in X. In a pre
 vious work\, we showed that if X is not a product of surfaces\, then delta
 (X) is at most 3\, and if moreover delta(X)=3\, then X has Picard number 5
  or 6. We will explain that in the case where X has Picard number 5\, ther
 e are 6 possible families for X\, among which 4 are toric. This is a joint
  work with Eleonora Romano.\n
LOCATION:https://researchseminars.org/talk/fano2021/6/
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