English

A remark on conical K\"ahler-Einstein metrics

Differential Geometry 2012-11-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1211.2725,
  title  = {A remark on conical K\"ahler-Einstein metrics},
  author = {Gábor Székelyhidi},
  journal= {arXiv preprint arXiv:1211.2725},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T22:37:00.451Z