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On a Conjecture of Harvey and Lawson
John Wermer
We consider complex projective space P^{n} and a smooth closed curve gamma in P^{n}. Harvey and Lawson have defined the notion of the projective hull \hat{K} of a compact subset K…
Analytic Disks and the Projective Hull
H. Blaine Lawson, John Wermer
Let X be a complex manifold and c a simple closed curve in X. We address the question: What conditions on c ensure the existence of a 1-dimensional complex subvariety V with bounda…
On the Complement of the Projective Hull in C^n
Blaine Lawson, John Wermer
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 \sub…
Linking numbers and boundaries of varieties
H. Alexander, John Wermer
The intersection index at a common point of two analytic varieties of complementary dimensions in is positive. This observation, which has been called a ``cornerstone''…