no. 1
A note on degenerations of del Pezzo surfaces
[Une remarque sur dégénérescences de surfaces de del Pezzo]
Prokhorov, Yuri1, 2, 3
1 Department of Algebra, Faculty of Mathematics Moscow State University Moscow 117234 (Russia)
2 Laboratory of Algebraic Geometry, National Research University Higher School of Economics, 7 Vavilova Str. Moscow 117312 (Russia)
3 Steklov Institute of Mathematics 8 Gubkina street Moscow 119991 (Russia)
Annales de l'Institut Fourier, Tome 65 (2015) no. 1, pp. 369-388.

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

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.

DOI : 10.5802/aif.2934
Classification : 14J10, 14E30
Keywords: del Pezzo surface, T-singularity, deformation
Mots-clés : surface de Del Pezzo, T-singularité, déformation

Prokhorov, Yuri 1, 2, 3

1 Department of Algebra, Faculty of Mathematics Moscow State University Moscow 117234 (Russia)
2 Laboratory of Algebraic Geometry, National Research University Higher School of Economics, 7 Vavilova Str. Moscow 117312 (Russia)
3 Steklov Institute of Mathematics 8 Gubkina street Moscow 119991 (Russia) 
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Prokhorov, Yuri. A note on degenerations of del Pezzo surfaces. Annales de l'Institut Fourier, Tome 65 (2015) no. 1, pp. 369-388. doi : 10.5802/aif.2934. https://aif.centre-mersenne.org/articles/10.5802/aif.2934/

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