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.
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页码：231 / 248
页数：18
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