On Milnor's fibration theorem and its offspring after 50 years

J Seade - Bulletin of the American Mathematical Society, 2019 - ams.org
Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …

Harmonic morphisms and their Milnor fibrations

MF Ribeiro, RN Araújo dos Santos, D Dreibelbis… - Annali di Matematica …, 2023 - Springer
Harmonic morphisms and their Milnor fibrations | Annali di Matematica Pura ed Applicata (1923
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Geometrical conditions for the existence of a Milnor vector field

MF Ribeiro, RN Araújo dos Santos - Bulletin of the Brazilian Mathematical …, 2021 - Springer
Geometrical Conditions for the Existence of a Milnor Vector Field | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

[PDF][PDF] A quick trip through fibration structures

AAE Santo, D Dreibelbis, MF Ribeiro… - Journal of …, 2020 - journalofsing.org
In this article we review the classical results about the existence of fibered structures for real
and complex singularities in the local setting, commonly known in the literature as Milnor's …

Milnor's fibration theorem for real and complex singularities

JL Cisneros-Molina, J Seade - Handbook of Geometry and Topology of …, 2021 - Springer
Milnor's fibration theorem is a landmark in singularity theory; it allowed to deepen the study
of the geometry and topology of analytic maps near their critical points. In this chapter we …

On the topology of the Milnor fibration

TO Souza, CAI Zapata - Bulletin of the Brazilian Mathematical Society, New …, 2023 - Springer
In this paper we present new results about the topology of the Milnor fibrations of analytic
function-germs with a special attention to the topology of the fibers. In particular, we provide …

On the topology of the Milnor Boundary for real analytic singularities

R Santos, A Menegon, M Ribeiro, J Seade… - arXiv preprint arXiv …, 2023 - arxiv.org
We study the topology of the boundaries of the Milnor fibers of real analytics map-germs $
f:(\mathbb {R}^ M, 0)\to (\mathbb {R}^ K, 0) $ and $ f_ {I}:=\Pi_ {I}\circ f:(\mathbb {R}^ M, 0)\to …

Fibration structures and formulae for the Euler characteristics of Milnor fibers (Theory of singularities of smooth mappings and around it)

N Dutertre, R Araújo dos Santos… - 数理解析研究所 …, 2016 - repository.kulib.kyoto-u.ac.jp
In this article, we review some fibration structure theorems (also called Milnor s fibration
theorems) recently proved in the real and complex cases, in the local and global settings …

Lê's vanishing polyhedron for a family of mixed functions

JL Cisneros‐Molina, A Menegon - Bulletin of the London …, 2019 - Wiley Online Library
We study real analytic isolated singularities of type f:(C n+ m+ 1, 0)→(C, 0) with f (z, w)= g
(z)+∑ i= 1 m+ 1 hi (wi, w¯ i), where g is holomorphic and each hi is a mixed polynomial, with …

Novos exemplos de NS-pares e de fibrações de Milnor reais não-triviais

MAPB Hohlenwerger - 2015 - ri.ufrb.edu.br
Neste trabalho, nos concentramos no estudo da topologia da fibração de Milnor associada
a um germe de aplicação polinomial f:(Rn, 0)→(Rp, 0) com uma singularidade isolada na …