Polynomial hulls with disk fibers over the ball in C2.
Abstract



Let Y be a compact set in C3 fibered over the boundary of the ball in C2 such that Y has disk fibers and the polynomial hull of Y is pseudoconcave. We show that (with some conditions on the fibers) the part of the hull over the open ball is the union of analytic graphs over the ball. We also show that the part over the open ball is the set where a particular analytic function has modulus less than or equal to 1.