I am a Master's student interested in Differential Geometry / Geometric Analysis. Currently active research is going on in Kahler-Einstein / Extremal Kahler 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 Kahler-Einstein / Extremal Kahler metrics in my PhD. Is the role of Algebraic Geometry in Kahler-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.
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Algebraic Geometry needed for Kahler-Einstein metric
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