A remark on conical K\"ahler-Einstein metrics
  We give some non-existence results for K\"ahler-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. 
G\'abor Sz\'ekelyhidi
math.DG