A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions
arXiv:1210.8121 · doi:10.1007/s12220-013-9430-9
Abstract
Answering an old question, we find a domain X in the complex projective plane CP^2 which admits a strongly plurisubharmonic function, but such that every holomorphic function on X is constant. The domain X can be chosen diffeomorphic to an oriented real 2-plane bundle over the 2-sphere.
J. Geom. Anal., in press