Kähler-Einstein metrics for some quasi-smooth log del Pezzo surfaces

Araujo, Carolina

doi:10.1090/S0002-9947-02-03081-7

Kähler-Einstein metrics for some quasi-smooth log del Pezzo surfaces
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Trans. Amer. Math. Soc. 354 (2002), 4303-4312 Request permission

Abstract:

Recently Johnson and Kollár determined the complete list of anticanonically embedded quasi-smooth log del Pezzo surfaces in weighted projective $3$-spaces. They also proved that many of those surfaces admit a Kähler-Einstein metric, and that some of them do not have tigers. The aim of this paper is to settle the question of the existence of Kähler-Einstein metrics and tigers for those surfaces for which the question was left open. In order to do so, we will use techniques developed earlier by Nadel, Demailly and Kollár.

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