Séminaire de géométrie algébrique
Laura Pertusi (Milano): Twisted cubics on cubic fourfolds and stability conditions
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Europe/Paris
001 (batiment I)
001
batiment I
Département de mathématiques
Bâtiment I
Faculté des Sciences
2 Boulevard Lavoisier
F-49045 Angers cedex 01
France
Description
A famous result of Beauville and Donagi states that the Fano variety of lines on a cubic fourfold is a smooth projective irreducible holomorphic symplectic (IHS) variety of dimension four, equivalent by deformation to the Hilbert square on a K3 surface. More recently, Lehn, Lehn, Sorger and van Straten constructed an IHS eightfold of K3 type from twisted cubic curves on a cubic fourfold Y non containing a plane.