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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 119–131
(Mi tm2601)
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This article is cited in 23 scientific papers (total in 23 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
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
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
Linking options:
https://www.mathnet.ru/eng/tm2601 https://www.mathnet.ru/eng/tm/v267/p119
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Abstract page: | 301 | Full-text PDF : | 71 | References: | 82 |
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