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Del Pezzo surfaces with log terminal singularities

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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 ℙ1.

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Original Russian Text © G. N. Belousov, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 2, pp. 170–180.

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Belousov, G.N. Del Pezzo surfaces with log terminal singularities. Math Notes 83, 152–161 (2008). https://doi.org/10.1134/S0001434608010185

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