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A remark on conical Kähler-Einstein metrics

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.

preprint2012arXivOpen access
Gábor Székelyhidi
math.DG
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Gábor Székelyhidi

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