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math.CV2014★ 1 cited
Harmonic Discs of Solutions to the Complex Homogeneous Monge-Ampère Equation
Julius Ross, David Witt Nyström
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Monge-Ampère equation. We show that for certain boundary data on the…
math.CV2014
Homogeneous Monge-Ampère Equations and Canonical Tubular Neighbourhoods in Kähler Geometry
Julius Ross, David Witt Nyström
We prove the existence of canonical tubular neighbourhoods around complex submanifolds of Kähler manifolds that are adapted to both the holomorphic and symplectic structure. This i…