Grzegorz Kapustka


Hyperkahler fourfolds and Abelian varieties.


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.