Mathematical Research Letters
Volume 20 (2013)
A remark on conical Kähler-Einstein metrics
Pages: 581 – 590
We give some non-existence results for Kähler-Einstein metrics with conical singularities along a divisor on Fano manifolds. In particular, we show that the maximal possible cone angle is in general smaller than the invariant $R(M)$. We study this discrepancy from the point of view of log $K$-stability.