23/07/16 08:25:34.67 Gig56QD8.net
NOTES ON THE BUNDLE OF COEURE AND LOEB ´
Abstract
A weak holomorphic-convexity property of a fiber bundle constructed
by Coeur´e and Loeb will be proved after an observation that it admits a
complete K¨ahler metric. Other remarks on their geometric and function
theoretic properties will be presented, too. In particular, it will be shown that there exists a
locally pseudoconvex branched Riemann domain
over C2 which is holomorphically separable.