We show that the symmetrized bidisc may be exhausted by strongly linearly convex domains. It shows in particular the existence of a strongly linearly convex domain that cannot be exhausted by domains biholomorphic to convex ones.
Kwokwai ChanThe Chinese University of Hong KongCheol-Hyun ChoSeoul National UniversitySiu-Cheong LauBoston UniversityNaichung Conan LeungThe Chinese University of Hong KongHsian-Hua TsengOhio State University
In this paper we study the birational geometry of HyperKaehler manifolds by combining the method of minimal model program and the traditional approach of symplectic geometry.