2007/05/21 by Fraboni, Michael, Napier, Terrence
#32E40 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.0705.3051
The main result is that, for any projective compact analytic subset A of dimension q>0 in a reduced complex space X, there is a neighborhood U of A such that, for any covering space Z of X in which the lifting B of A has no noncompact connected analytic subsets of pure dimension q with only compact irreducible components, there exists a smooth exhaustion function on Z which is strongly q-convex on the lifting of U outside a uniform neighborhood of the q-dimensional compact irreducible components B.