A pair of rigid surfaces with
p_g=q=2 and K^2=8 whose universal cover is not the bidisk.
Francesco
Polizzi
(Universita' della
Calabria)
|
We construct two complex-conjugated rigid surfaces with p_g=q=2 and K^2=8, whose universal cover is not biholomorphic to the bidisk. We show that these are the unique surfaces with these invariants and Albanese map of degree 2, apart a family of product-quotient surfaces constructed by Penegini. This is a joint work with C. Rito and X. Roulleau. |