V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. III”, Math. USSR-Izv., 35:3 (1990), 657

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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 3, Pages 657–675
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000721 (Mi im1158)

This article is cited in 11 scientific papers (total in 11 papers)

Del Pezzo surfaces with log-terminal singularities. III

V. V. Nikulin

English version PDF (995 kB) Citations (11) Russian version article

References:

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DOI: https://doi.org/10.1070/IM1990v035n03ABEH000721

Abstract: Let

Z

$Z$ be a del Pezzo surface with log-terminal singularities and

σ : Y \to Z

$\sigma\colon Y\to Z$ a minimal resolution of singularities. Then the Picard number of

Y

$Y$ satisfies

ρ (Y) < N (e)

$\rho(Y)<N(e)$ , where

e

$e$ is the maximal multiplicity of the singularities of

Z

$Z$ and

N

$N$ a certain function of

e

$e$ .
Bibliography: 18 titles.

Received: 16.09.1988

Bibliographic databases:

Document Type: Article

UDC: 512.774

MSC: Primary 14J10, 14J26; Secondary 14J05, 14J17, 14J25, 14J28, 14E30, 51F15

Language: English

Original paper language: Russian

Citation: V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. III”, Math. USSR-Izv., 35:3 (1990), 657–675

Citation in format AMSBIB

\Bibitem{Nik89}

\by V.~V.~Nikulin

\paper Del~Pezzo surfaces with log-terminal singularities.~III

\jour Math. USSR-Izv.

\yr 1990

\vol 35

\issue 3

\pages 657--675

\mathnet{http://mi.mathnet.ru/eng/im1158}

\crossref{https://doi.org/10.1070/IM1990v035n03ABEH000721}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039966}

\zmath{https://zbmath.org/?q=an:0711.14018}

Linking options:

https://www.mathnet.ru/eng/im1158

https://doi.org/10.1070/IM1990v035n03ABEH000721

https://www.mathnet.ru/eng/im/v53/i6/p1316

Cycle of papers

Del Pezzo surfaces with log-terminal singularities
V. V. Nikulin
Mat. Sb., 1989, 180:2, 226–243
Del Pezzo surfaces with log-terminal singularities. II
V. V. Nikulin
Izv. Akad. Nauk SSSR Ser. Mat., 1988, 52:5, 1032–1050
Del Pezzo surfaces with log-terminal singularities. III
V. V. Nikulin
Izv. Akad. Nauk SSSR Ser. Mat., 1989, 53:6, 1316–1334

This publication is cited in the following 11 articles:

Birkar C., “Singularities of Linear Systems and Boundedness of Fano Varieties”, Ann. Math., 193:2 (2021), 347–405
Dimitrios I. Dais, “Toric log del Pezzo surfaces with one singularity”, Advances in Geometry, 20:1 (2020), 121
Hideo Kojima, Takeshi Takahashi, “Normal del Pezzo surfaces of rank one with log canonical singularities”, Journal of Algebra, 360 (2012), 53
Yu. Prokhorov, V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2008), 151
A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, J. Math. Sci., 140:2 (2007), 200–205
Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196
D.-Q. ZHANG, “Quotients of K3 surfaces modulo involutions”, Jpn. j. math, 24:2 (1998), 335
Valery Alexeev, “Two two-dimensional terminations”, Duke Math. J., 69:3 (1993)
A. A. Borisov, L. A. Borisov, “Singular toric Fano varieties”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 277–283
V. V. Nikulin, “Algebraic three-folds and the diagram method”, Math. USSR-Izv., 37:1 (1991), 157–189
V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities”, Math. USSR-Sb., 66:1 (1990), 231–248

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Академии наук СССР. Серия математическая

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Abstract page:	379
Russian version PDF:	86
English version PDF:	16
References:	55
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