The partial $C^0$-estimate along the continuity method
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- by Gábor Székelyhidi PDF
- J. Amer. Math. Soc. 29 (2016), 537-560 Request permission
Abstract:
We prove that the partial $C^0$-estimate holds for metrics along Aubin’s continuity method for finding Kähler-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 Kähler-Einstein metrics.References
Additional Information
- Gábor Székelyhidi
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- MR Author ID: 754093
- Email: gszekely@nd.edu
- Received by editor(s): November 5, 2013
- Received by editor(s) in revised form: June 26, 2014, and March 18, 2015
- Published electronically: April 29, 2015
- Additional Notes: The author was supported in part by NSF grant DMS-1306298.
- © Copyright 2015 American Mathematical Society
- Journal: J. Amer. Math. Soc. 29 (2016), 537-560
- MSC (2010): Primary 53C55; Secondary 53C23
- DOI: https://doi.org/10.1090/jams/833
- MathSciNet review: 3454382