On the Complement of the Projective Hull in C^n
Complex Variables
2007-05-23 v1 Differential Geometry
Abstract
We prove that if is a compact subset of an affine variety O = P^n - D (where D is a projective hypersuface), and if K is a compact subset of a closed analytic subvariety V \subset O, then the projective hull K^ of K has the property that K^ \cap O is contained in V. If V is smooth and 1-dimensional, then K^ \cap O is also closed in O. The result has applications to graphs in C^2 of functions in the disk algebra.
Cite
@article{arxiv.0704.2849,
title = {On the Complement of the Projective Hull in C^n},
author = {Blaine Lawson and John Wermer},
journal= {arXiv preprint arXiv:0704.2849},
year = {2007}
}