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. ; Kollár, János
Annales de l'Institut Fourier, Tome 51 (2001), p. 69-79 / Harvested from Numdam
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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.

Publié le : 2001-01-01
DOI : https://doi.org/10.5802/aif.1815
Classification:  14J26,  14Q10,  32Q20
Mots clés: surface de del Pezzo, métrique de Kähler-Einstein 
@article{AIF_2001__51_1_69_0,
     author = {Johnson, Jennifer M. and Koll\'ar, J\'anos},
     title = {K\"ahler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces},
     journal = {Annales de l'Institut Fourier},
     volume = {51},
     year = {2001},
     pages = {69-79},
     doi = {10.5802/aif.1815},
     mrnumber = {1821068},
     zbl = {0974.14023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2001__51_1_69_0}
}

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) pp. 69-79. doi : 10.5802/aif.1815. http://gdmltest.u-ga.fr/item/AIF_2001__51_1_69_0/

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