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arXiv · 1207.6592

Numerical Solutions of Kahler-Einstein metrics on $P^2$ with conical singularities along a conic curve

Chi Li
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Abstract

We solve for the SO(3)-invariant Kahler-Einstein metric on $\mathbb{P}^2$ with cone singularities along a smooth conic curve using numerical approach. The numerical results show the sharp range of angles ($(\pi/2,2\pi]$) for the solvability of equations, and the right limit metric space ($P(1,1,4)$). These results exactly match our theoretical conclusions.

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Chi Li. 2012-07-27. Numerical Solutions of Kahler-Einstein metrics on $P^2$ with conical singularities along a conic curve. https://arxiv.org/abs/1207.6592

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