English

The partial $C^0$-estimate along the continuity method

Differential Geometry 2017-09-25 v3

Abstract

We prove that the partial C0C^0-estimate holds for metrics along Aubin's continuity method for finding K\"ahler-Einstein metrics, confirming a special case of a conjecture due to Tian. We use the method developed in recent work of Chen-Donaldson-Sun on the analogous problem for conical K\"ahler-Einstein metrics.

Keywords

Cite

@article{arxiv.1310.8471,
  title  = {The partial $C^0$-estimate along the continuity method},
  author = {Gábor Székelyhidi},
  journal= {arXiv preprint arXiv:1310.8471},
  year   = {2017}
}

Comments

v3: 24 pages, corrected Proposition 12 in previous version

R2 v1 2026-06-22T01:58:13.413Z