On indices of 1-forms on determinantal singularities

被引：0
|
作者：
S. M. Gusein-Zade
W. Ebeling
机构：
[1] Moscow State University,Faculty of Mechanics and Mathematics
[2] Leibniz Universität Hannover,Institut für Algebraische Geometrie
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 267卷
关键词：
Singular Point; STEKLOV Institute; Euler Characteristic; Curve Singularity; Singular Locus;
D O I：
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学科分类号：
摘要：
We consider 1-forms on so-called essentially isolated determinantal singularities (a natural generalization of isolated singularities), show how to define analogs of the Poincaré-Hopf index for them, and describe relations between these indices and the radial index. For isolated determinantal singularities, we discuss properties of the homological index of a holomorphic 1-form and its relation to the Poincaré-Hopf index.
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页码：113 / 124
页数：11
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