A note on degenerations of del Pezzo surfaces

Prokhorov, Yuri

A note on degenerations of del Pezzo surfaces
[Une remarque sur dégénérescences de surfaces de del Pezzo]

Prokhorov, Yuri

Annales de l'Institut Fourier, Tome 65 (2015), p. 369-388 / Harvested from Numdam

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Résumé
Abstract

Nous montrons que pour une dégénérescence Q-Gorenstein $X$ de surfaces de del Pezzo, le nombre de singularités non-Du Val est au plus $ρ (X) + 2$ . Les dégénérescences avec $ρ (X) + 2$ et $ρ (X) + 1$ points non-Du Val sont étudiées.

We prove that for a Q-Gorenstein degeneration $X$ of del Pezzo surfaces, the number of non-Du Val singularities is at most $ρ (X) + 2$ . Degenerations with $ρ (X) + 2$ and $ρ (X) + 1$ non-Du Val points are investigated

Publié le : 2015-01-01

Zbl 06496543

DOI : https://doi.org/10.5802/aif.2934
Classification: 14J10, 14E30
Mots clés: surface de Del Pezzo, T-singularité, déformation

@article{AIF_2015__65_1_369_0,
     author = {Prokhorov, Yuri},
     title = {A note on degenerations of del Pezzo surfaces},
     journal = {Annales de l'Institut Fourier},
     volume = {65},
     year = {2015},
     pages = {369-388},
     doi = {10.5802/aif.2934},
     zbl = {06496543},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2015__65_1_369_0}
}

Prokhorov, Yuri. A note on degenerations of del Pezzo surfaces. Annales de l'Institut Fourier, Tome 65 (2015) pp. 369-388. doi : 10.5802/aif.2934. http://gdmltest.u-ga.fr/item/AIF_2015__65_1_369_0/

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