On the Complement of the Projective Hull in C^n

Details On the Complement of the Projective Hull in C^n On the Complement of the Projective Hull in C^n

2007-04-21

arxiv.org/abs/0704.2849v1

Mathematics

Complex Variables

Scientific paper

We prove that if $K$ 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.

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