Geometrical Conditions for the Existence of a Milnor Vector Field

We introduce several sufficient conditions to guarantee the existence of the Milnor vector field for new classes of singularities of map germs. This special vector field is related with the equivalence problem of the Milnor fibrations for real and complex singularities, if they exit.

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Bibliographic Details
Published in:Boletim da Sociedade Brasileira de Matemática 2021-12, Vol.52 (4), p.771-789
Main Authors: Ribeiro, Maico F., Araújo dos Santos, Raimundo Nonato
Format: Article
Language:English
Subjects:
Fields (mathematics)
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Singularities
Theoretical
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Summary:We introduce several sufficient conditions to guarantee the existence of the Milnor vector field for new classes of singularities of map germs. This special vector field is related with the equivalence problem of the Milnor fibrations for real and complex singularities, if they exit.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-020-00230-9