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arXiv · 0806.0219

On indices of 1-forms on determinantal singularities

W. Ebeling·S. M. Gusein-Zade
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Abstract

We consider 1-forms on, so called, essentially isolated determinantal singularities (a natural generalization of isolated ones), show how to define analogues 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 with the Poincaré--Hopf index.

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BibTeXRIS

W. Ebeling, S. M. Gusein-Zade. 2008-06-02. On indices of 1-forms on determinantal singularities. https://arxiv.org/abs/0806.0219

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