Speaker:
Grzegorz Kapustka
Title:
Hyperkahler fourfolds and Abelian varieties.
Abstract:
We will disscus the relations between the unique irreducible principally polarised abelian fourfold with 10 vanishing thetaconstants and the hyperkahler fourfold described by M. Donten-Bury and J. Wisniewski. As an application we obtain a countrexample to the O'Grady problem about pairwise incident planes. This is a work in progress with M. Donten-Bury, B. Van Geemen, M. Kapustka, J. Wisniewski.