Geodesic
Del Pezzo Surfaces with Log Terminal Singularities
Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 170-180

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We prove that there are no del Pezzo surfaces with five log terminal singularities and the Picard number 1. In the course of the proof, we make use of fibrations with general fiber $\mathbb P^1$.
Mots-clés : algebraic surface, del Pezzo surface
Keywords: log terminal singularity, anticanonical class, Picard number, canonical divisor, ruled surface. 
@article{MZM_2008_83_2_a1,
     author = {G. N. Belousov},
     title = {Del {Pezzo} {Surfaces} with {Log} {Terminal} {Singularities}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {170--180},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a1/}
}
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G. N. Belousov. Del Pezzo Surfaces with Log Terminal Singularities. Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 170-180. http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a1/