Franco Giovenzana (Technische Universität Chemnitz) : Lines, twisted cubics on cubic fourfolds and some hyperkähler varieties

Séminaire « Géométrie algébrique »
Salle Kampé de Feriet (Bâtiment M2, 1er étage)

Given a smooth cubic fourfold in IP^5, one constructs various Hyperkähler manifolds, e.g. the variety parametrizing lines and the variety families of twisted cubics and their flat degenerations. Here I will discuss the geometry of these examples and their link with cubic fourfolds.

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