This article is cited in 14 papers

Del Pezzo Surfaces with Log Terminal Singularities

G. N. Belousov

M. V. Lomonosov Moscow State University

Abstract: 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 $\mathbb P^1$.

Keywords: algebraic surface, del Pezzo surface, log terminal singularity, anticanonical class, Picard number, canonical divisor, ruled surface.

UDC: 512.6

Received: 10.10.2006

DOI: 10.4213/mzm3833

 English version: Mathematical Notes, 2008, 83:2, 152–161

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