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Bounding Poincaré‐Hopf indices and Milnor numbers
Author(s) -
Soares Marcio G.
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310265
Subject(s) - determinacy , mathematics , bounding overwatch , germ , pure mathematics , zero (linguistics) , field (mathematics) , discrete mathematics , mathematical analysis , linguistics , philosophy , artificial intelligence , computer science
We 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)