A remark on conical Kähler-Einstein metrics

2012/11/12 by Székelyhidi, Gábor · 1 citation
#53C25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.2725

Abstract

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.

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• Conical Kähler-Einstein metrics on K-unstable del Pezzo surfaces

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