Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces
[Métriques de Kähler-Einstein sur les surfaces de del Pezzo logarithmiques dans les espaces projectifs à poids de dimension 3]
Johnson, Jennifer M.1 ; Kollár, János1
1 Princeton University, Department of Mathematics, Fine Hall, Washington Road, Princeton NJ 08544-1000 (USA)
Annales de l'Institut Fourier, Tome 51 (2001) no. 1, pp. 69-79.

Nous déterminons toutes les surfaces de del Pezzo logarithmiques quasi-lisses dans les espaces projectifs à poids de dimension 3, qui sont plongées par leur morphisme anticanonique. Beaucoup de ces surfaces admettent une métrique de Kähler-Einstein, et la plupart de celles-ci n'ont pas de tigres.

We determine all anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kähler-Einstein metric and most of them do not have tigers.

DOI : 10.5802/aif.1815
Classification : 14J26, 14Q10, 32Q20
Keywords: del Pezzo surface, Kähler-Einstein metric
Mot clés : surface de del Pezzo, métrique de Kähler-Einstein
Johnson, Jennifer M. 1 ; Kollár, János 1

1 Princeton University, Department of Mathematics, Fine Hall, Washington Road, Princeton NJ 08544-1000 (USA) 
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     title = {K\"ahler-Einstein metrics on log del {Pezzo} surfaces in weighted projective 3-spaces},
     journal = {Annales de l'Institut Fourier},
     pages = {69--79},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Johnson, Jennifer M.; Kollár, János. Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces. Annales de l'Institut Fourier, Tome 51 (2001) no. 1, pp. 69-79. doi : 10.5802/aif.1815. http://www.numdam.org/articles/10.5802/aif.1815/

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