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

共 37 条

[31] Topological numbers and singularities in scalar images: Scale-space evolution properties
Kalitzin, SN
Romeny, BMT
Salden, AH
Nacken, PFM
Viergever, MA
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 1998, 9 (03) : 253 - 269
[32] The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities
da Silva, Thiago F.
Grulha, Nivaldo G., Jr.
Pereira, Miriam S.
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2018, 49 (03): : 637 - 645
[33] Carrousel in family and non-isolated hypersurface singularities in C3
Michel, Francoise
Pichon, Anne
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 720 : 1 - 32
[34] Non-compact Newton boundary and Whitney equisingularity for non-isolated singularities
Eyral, Christophe
Oka, Mutsuo
ADVANCES IN MATHEMATICS, 2017, 316 : 94 - 113
[35] Linear normality of general linear sections and some graded Betti numbers of 3-regular projective schemes
Ahn, Jeaman
Han, Kangjin
JOURNAL OF ALGEBRA, 2015, 440 : 642 - 667
[36] Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Nakajima, Hiraku
KYOTO JOURNAL OF MATHEMATICS, 2021, 61 (02) : 377 - 397
[37] DISCRETENESS OF F-JUMPING NUMBERS AT ISOLATED NON-Q-GORENSTEIN POINTS
Graf, Patrick
Schwede, Karl
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (02) : 473 - 487

← 1 2 3 4 →