I am a Master's student interested in Differential Geometry / Geometric Analysis. Currently active research is going on in Kähler-Einstein / Extremal Kähler metric. I was wondering how much Algebraic geometry (by Algebraic Geometry I DON'T mean Complex Analytic Geometry) I need to know if I want to study Kähler-Einstein / Extremal Kähler metrics in my PhD. Is the role of Algebraic Geometry in Kähler-Einstein metric something like black-box or do I need to have a thorough understanding of Algebraic Geometry? Frankly speaking, I dislike Algebraic Geometry and I don't understand it.
Algebraic Geometry needed for Kähler-Einstein metric
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