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2
votes
Does Bergman metric induce the standard topology?
Let me convert my comment into an answer with references. It's easy to get distracted by the complicated formulas, but the key points are:
The Bergman kernel determines a Riemannian metric on $\Ome …
8
votes
Accepted
Do we have the Oka coherence theorem for finite group actions?
This would be true. You need two facts:
Grauert's theorem that coherent sheaves are preserved by proper direct images. This implies
$\pi_*\mathcal{O}_{\mathbb{C}^n}$ is coherent.
Sub modules of cohe …