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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 119–131 (Mi tm2601)  
This article is cited in 21 scientific papers (total in 21 papers)

On Indices of 1-Forms on Determinantal Singularities

S. M. Gusein-Zadea, W. Ebelingb

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b Institut für Algebraische Geometrie, Leibniz Universität Hannover, Hannover, Germany
Full-text PDF (234 kB) Citations (21)
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Abstract: 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.
Received in July 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 113–124
DOI: https://doi.org/10.1134/S0081543809040099
Bibliographic databases:
UDC: 512.761.5
Language: Russian
Citation: S. M. Gusein-Zade, W. Ebeling, “On Indices of 1-Forms on Determinantal Singularities”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 119–131; Proc. Steklov Inst. Math., 267 (2009), 113–124
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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