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Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
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Existence of Kähler Metric of Bounded Geometry on the Hermitian Vector Bundle on Projective ...
(This is OP, and I wrote the question with my inactive account. Please excuse.)
I think I found the proof, but there are some points that I am not 100% sure. Yet I think those problems are minor.
Let …