Results on Milnor Fibrations for mixed polynomials with non-isolated singularities

2019/11/05 by Nivaldo G. Grulha, Grulha, N. G., R. S. Martins +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1911.01767

openalex publication_date 2019/11/05 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

Abstract

In this article we investigate mixed polynomials and present conditions that can be applied on a specific class of polynomials in order to prove the existence of the Milnor Fibration, Milnor-Lê Fibration and the equivalence between them. We prove for this class the of functions that the Milnor-Lê fiber on a regular value is homeomorphic to the Milnor-Lê fiber on a critical value. We develop a criterion to verify the transversality property and apply it to a special case of the class of mixed polynomial.

Citations

• Milnor-Lê type fibrations for subanalytic maps

Cited by

• Non-degenerate mixed maps and contact structures

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