A remark on conical Kähler-Einstein metrics

Gábor Székelyhidi

doi:10.4310/MRL.2013.v20.n3.a14

A remark on conical Kähler-Einstein metrics

Gábor Székelyhidi^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English (US)
Pages (from-to)	581-590
Number of pages	10
Journal	Mathematical Research Letters
Volume	20
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2013.v20.n3.a14
State	Published - May 2013

ASJC Scopus subject areas

General Mathematics

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title = "A remark on conical K{\"a}hler-Einstein metrics",

abstract = "We give some non-existence results for K{\"a}hler-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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year = "2013",

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AB - 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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JO - Mathematical Research Letters

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A remark on conical Kähler-Einstein metrics

Abstract

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