Relations between the Kähler cone and the balanced cone of a Kähler manifold

By Jixiang Fu, Jian Xiao. 2012

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Abstract In this paper, we consider a natural map from the Kahler cone of a compact Kahler manifold to its balanced cone. We study its injectivity and surjectivity. We also give an analytic characterization theorem on a nef class being Kahler.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/573b35d04ff36581f7e7f32fdaf928f27ad4389e