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Questions about Kähler manifolds and Kähler metrics.

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What is the obstruction to the existence of a global Kahler potential?

Here's a geometric way to think about the obstruction. Consider a holomorphic line bundle $L$ over a complex manifold $M$ and let $h \in \Gamma\big(\overline{L}\,^*\otimes L^*\big)$ be a Hermitian for …
Arpan Saha's user avatar