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Matematicheskie Zametki, 2008, Volume 83, Issue 2, Pages 170–180
DOI: https://doi.org/10.4213/mzm3833 (Mi mzm3833) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Del Pezzo Surfaces with Log Terminal Singularities

G. N. Belousov

M. V. Lomonosov Moscow State University
Full-text PDF (472 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm3833
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.
Received: 10.10.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 2, Pages 152–161
DOI: https://doi.org/10.1134/S0001434608010185
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: G. N. Belousov, “Del Pezzo Surfaces with Log Terminal Singularities”, Mat. Zametki, 83:2 (2008), 170–180; Math. Notes, 83:2 (2008), 152–161
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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