DELPEZZO SURFACES WITH LOG-TERMINAL SINGULARITIES .1.

被引：10

作者：

NIKULIN, VV

机构：

[1] Steklov Mathematical Institute Academy of Sciences of the USSR, Moscow

来源：

MATHEMATICS OF THE USSR-SBORNIK | 1990年 / 66卷 / 01期

关键词：

D O I：

10.1070/SM1990v066n01ABEH001314

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new method is applied to the study of del Pezzo surfacesZ with log-terminal singularities, taken from the theory of reflection groups in Lobachevsky space.This method yields bounds on the Picard number(Y) of a minimal resolution Y ofsingularities of Z, assuming that the indices or the multiplicities of the singularities ofZ are bounded, and under an extra (conjecturally inessential) condition of generality on the singularities of Z. © 1990 American Mathematical Society.

引用

页码：231 / 248

页数：18

共 26 条

[1] Alekseev V. A., 1989, DOKL AKAD NAUK SSSR, V306, P525
[2] RATIONAL MAPPINGS OF DELPEZZO SURFACES, AND SINGULAR COMPACTIFICATIONS OF 2-DIMENSIONAL AFFINE VARIETIES
BINDSCHADLER, D
BRENTON, L
DRUCKER, D
[J]. TOHOKU MATHEMATICAL JOURNAL, 1984, 36 (04) : 591 - 609
[3] Brieskorn E., 1968, INVENT MATH, V4, P336, DOI 10.1007/BF01425318
[4] Du Val P, 1934, P CAMB PHILOS SOC, V30, P460
[5] Du Val P, 1934, P CAMB PHILOS SOC, V30, P483
[6] Du Val P, 1934, P CAMB PHILOS SOC, V30, P453
[7] Hartshorne R., 1977, SPRINGER GRADUATE TE
[8] ILIEV AI, 1986, VESTN MOSK U MAT M+, P38
[9] THE CONE OF CURVES OF ALGEBRAIC-VARIETIES
KAWAMATA, Y
[J]. ANNALS OF MATHEMATICS, 1984, 119 (03) : 603 - 633
[10] Manin Yu. I., 1986, USPEKHI MAT NAUK, V41, P43

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