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This article is cited in 6 scientific papers (total in 6 papers)
Del Pezzo surfaces with log-terminal singularities. III
V. V. Nikulin
Abstract:
Let $Z$ be a del Pezzo surface with log-terminal singularities and $\sigma\colon Y\to Z$ a minimal resolution of singularities. Then the Picard number of $Y$ satisfies $\rho(Y)<N(e)$, where $e$ is the maximal multiplicity of the singularities of $Z$ and $N$ a certain function of $e$.
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Mathematics of the USSR-Izvestiya, 1990, 35:3, 657–675
Bibliographic databases:
 
UDC:
512.774
MSC: Primary 14J10, 14J26; Secondary 14J05, 14J17, 14J25, 14J28, 14E30, 51F15
Received: 16.09.1988
Citation:
V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. III”, Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989), 1316–1334; Math. USSR-Izv., 35:3 (1990), 657–675
Citation in format AMSBIB
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\by V.~V.~Nikulin
\paper Del~Pezzo surfaces with log-terminal singularities.~III
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 6
\pages 1316--1334
\mathnet{http://mi.mathnet.ru/izv1158}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1039966}
\zmath{https://zbmath.org/?q=an:0711.14018}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 657--675
\crossref{https://doi.org/10.1070/IM1990v035n03ABEH000721}
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This publication is cited in the following articles:
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V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities”, Math. USSR-Sb., 66:1 (1990), 231–248
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V. V. Nikulin, “Algebraic three-folds and the diagram method”, Math. USSR-Izv., 37:1 (1991), 157–189
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A. A. Borisov, L. A. Borisov, “Singular toric Fano varieties”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 277–283
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Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196
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A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, J. Math. Sci., 140:2 (2007), 200–205
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Hideo Kojima, Takeshi Takahashi, “Normal del Pezzo surfaces of rank one with log canonical singularities”, Journal of Algebra, 360 (2012), 53
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