Varieties of sums of powers of a cubic 4-folds
Vortrag von Prof. Dr. Kristian Ranestad
Sprecher eingeladen von: Prof. Dr. Andrew Kresch
Datum: 11.11.13 Zeit: 13.15 - 14.45 Raum: Y27H25
The variety VSP(f,10) of presentations of a general homogeneous cubic form f in 6 variables as a sum of 10 powers of linear forms has the structure of a hyperkahler 4-fold. I shall discuss this result and how Noether Lefschetz divisors in the moduli space of Hyperkahler 4-folds correspond to divisors of cubic fourfolds that are not Noether Lefschetz. I report on work with Iliev and Voisin.