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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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The partial $C^0$-estimate along the continuity method
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by Gábor Székelyhidi
J. Amer. Math. Soc. 29 (2016), 537-560
DOI: https://doi.org/10.1090/jams/833
Published electronically: April 29, 2015

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
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Bibliographic 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