2012/10/31 by Franc Forstnerič
Mathematics · #Function (biology) #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Holomorphic function #Mathematics #Pure mathematics #Surface (topology) #math.CV #msc:32E10 #msc:32E40 #msc:32F05 #msc:32F25 #msc:57R17
paper · pdf · doi:10.1007/s12220-013-9430-9
published as J. Geom. Anal. (2015) 25:329-335 · J. Geom. Anal., in press
arxiv created 2013/06/24 · openalex publication_date 2013/08/07 · arxiv updated 2015/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Answering an old question, we find a domain X in the complex projective plane CP2 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.