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

Author:
Carolina Araujo

Journal:
Trans. Amer. Math. Soc. **354** (2002), 4303-4312

MSC (2000):
Primary 14Q10, 32Q20

Published electronically:
July 2, 2002

MathSciNet review:
1926877

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Abstract | References | Similar Articles | Additional Information

Abstract: Recently Johnson and Kollár determined the complete list of anticanonically embedded quasi-smooth log del Pezzo surfaces in weighted projective -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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Additional Information

**Carolina Araujo**

Affiliation:
Mathematics Department, Princeton University, Princeton, New Jersey 08544

Email:
caraujo@math.princeton.edu

DOI:
https://doi.org/10.1090/S0002-9947-02-03081-7

Received by editor(s):
December 12, 2001

Published electronically:
July 2, 2002

Additional Notes:
Partial financial support was provided by CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil)

Article copyright:
© Copyright 2002
American Mathematical Society