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.

引用

页码：1525 / 1548

页数：24

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