Bounding Poincaré‐Hopf indices and Milnor numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2005 English Publisher:WileyJournal:Mathematische Nachrichten, volume 278, pages 703-711 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Soares, Marcio G.;

doi: 10.1002/mana.200310265

Bounding Poincaré‐Hopf indices and Milnor numbers

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Abstract

AbstractWe use Mather's finite determinacy theory and Baum‐Bott's theorem to give sharp bounds for the Poincaré‐Hopf index of a germ of homolorphic vector field with an isolated zero. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations

UNIVERSIDADE DE SAO PAULO
Brazil
Universidade Federal de Minas Gerais
Brazil

Keywords

Complex surface and hypersurface singularities, Milnor numbers, Singularities of holomorphic vector fields and foliations, characteristic classes, Holomorphic foliations, Poincaré-Hopf indices

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