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Seminar in Algebraic Geometry: “Manifolds with two projective bundles structures”

Tuesday, May 14th, 2019, 14:00 - Room 1BC45 - Gianluca Occhetta

ARGOMENTI: Seminars

“Manifolds with two projective bundles structures”
Tuesday, May 14th, 2019, 14:00
Room 1BC45
Gianluca Occhetta (Trento)

Abstract
Having a projective bundle structure makes a variety rather special, so having two different projective bundle structure should be quite uncommon, especially if we assume that the Picard group of the variety is two-dimensional (in this case the variety is Fano).
On the other hand, such varieties appear in many different - apparently unrelated - contexts, for instance in the study of dual defective varieties, flops and horospherical varieties; therefore classification results for these varieties are very interesting.
In my talk I will review old and new results about this problem.