MILNOR NUMBERS OF PROJECTIVE HYPERSURFACES WITH ISOLATED SINGULARITIES

被引：16
|
作者：
Huh, June [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2014年 / 163卷 / 08期
基金：
美国国家科学基金会;
关键词：
POLAR CREMONA TRANSFORMATIONS; LEFSCHETZ THEOREMS; VARIETIES; TOPOLOGY;
D O I：
10.1215/00127094-2713700
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let V be a projective hypersurface of fixed degree and dimension which has only isolated singular points. We show that, if the sum of the Milnor numbers at the singular points of V is large, then V cannot have a point of large multiplicity, unless V is a cone. As an application, we give an affirmative answer to a conjecture of Dimca and Papadima.
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页码：1525 / 1548
页数：24
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