Vanishing cycles and monodromy of complex polynomials
type: Item
instance of: scholarly article
title: Vanishing cycles and monodromy of complex polynomials
zbMATH Open document ID: 0978.32030
DOI: 10.1215/S0012-7094-00-10134-2
author: Walter D. Neumann
author: Paul Norbury
published in: Duke Mathematical Journal
publication date: 2000-07-27T00:00:00Z
review text: Several results on the vanishing cycles, topology of fibers and monodromy for a polynomial function \(f:\mathbb{C}^n\to \mathbb{C}\) are obtained.
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 1441961
zbMATH Keywords: vanishing cycles
zbMATH Keywords: monodromy
zbMATH Keywords: polynomial
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
cites work: Q4002664
cites work: Q4400914
cites work: Q3041331
cites work: Milnor numbers and the topology of polynomial hypersurfaces
cites work: Degeneration of Kähler manifolds
cites work: Théorie de Hodge. II. (Hodge theory. II)
cites work: Q4267944
cites work: Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
cites work: Sur la topologie des polynômes complexes. (Topology of complex polynomials)
cites work: Two remarks on polynomials in two variables
cites work: On the monodromies of a polynomial map from \(\mathbb{C}^2\) to \(\mathbb{C}\)
cites work: Generically rational polynomials
cites work: Complex algebraic plane curves via their links at infinity
cites work: Irregular links at infinity of complex affine plane curves
cites work: Unfolding polynomial maps at infinity
cites work: Rational polynomials of simple type.
cites work: Fonctions entières qui se reduisent à certains polynômes. II
cites work: Singularities at infinity and their vanishing cycles
cites work: Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
cites work: Sur les opérations holomorphes du groupe additif complexe sur l'espace de deux variables complexes
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description: scientific article; zbMATH DE number 1441961