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KÄHLER-EINSTEIN METRICS ON FANO MANIFOLDS. I: APPROXIMATION OF METRICS WITH CONE SINGULARITIES

Journal of the American Mathematical Society, 2015-01, Vol.28 (1), p.183-197 [Peer Reviewed Journal]

2015 American Mathematical Society ;ISSN: 0894-0347 ;EISSN: 1088-6834 ;DOI: 10.1090/S0894-0347-2014-00799-2

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  • Title:
    KÄHLER-EINSTEIN METRICS ON FANO MANIFOLDS. I: APPROXIMATION OF METRICS WITH CONE SINGULARITIES
  • Author: CHEN, XIUXIONG ; DONALDSON, SIMON ; SUN, SONG
  • Is Part Of: Journal of the American Mathematical Society, 2015-01, Vol.28 (1), p.183-197
  • Description: This is the first of a series of three papers which prove the fact that a K -stable Fano manifold admits a Kähler-Einstein metric. The main result of this paper is that a Kähler-Einstein metric with cone singularities along a divisor can be approximated by a sequence of smooth Kähler metrics with controlled geometry in the Gromov-Hausdorff sense.
  • Publisher: American Mathematical Society
  • Language: English
  • Identifier: ISSN: 0894-0347
    EISSN: 1088-6834
    DOI: 10.1090/S0894-0347-2014-00799-2
  • Source: American Mathematical Society Publications (Freely Accessible)
    Alma/SFX Local Collection
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