2 papers
math.DG2022
Canonical metrics on holomorphic fibre bundles
John Benjamin McCarthy
In this article we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symp…
math.CV2017
Extensions of bounded holomorphic functions on the tridisk
Lukasz Kosinski, John McCarthy
We study sets in the tridisc that are relatively polynomially convex and have the polynomial extension property. If is one-dimensional, and is either algebraic, or has poly…