Numerical Solutions of Kähler–Einstein Metrics on P2 with Conical Singularities along a Smooth Quadric Curve
نویسندگان
چکیده
We solve for the SO(3)-invariant Kähler–Einstein metric on P2 with cone singularities along a smooth quadric curve using a numerical approach. The numerical results show the sharp range of angles ((π/2, 2π ]) for the solvability of equations, and the correct limit metric space (P(1, 1, 4)). These results exactly match our theoretical conclusion. We also point out the cause of incomplete classifications in Conti (Commun Math Phys 3:751–774, 2007).
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