The boundary of the Milnor fibre of complex and real analytic non-isolated singularities

DOI10.1007/s10711-013-9933-3zbMath1306.14002arXiv1106.4956OpenAlexW1989851332MaRDI QIDQ476391

Aurélio Menegon Neto, J. Fernández de Bobadilla de Olazabal

Publication date: 1 December 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4956

zbMATH Keywords

monodromyzeta functionMilnor fibrationA'Campo type formulareal analytic singularityWaldhausen manifold

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Milnor fibration; relations with knot theory (32S55) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (20)

Carrousel in family and non-isolated hypersurface singularities in \(\mathbb{C}^3\) ⋮ The boundary of the Milnor fibre of certain non-isolated singularities ⋮ New classes of mixed functions without Thom regularity ⋮ The boundary of the Milnor fiber of the singularity \(f(x,y) + zg(x,y) = 0\) ⋮ Thom property and Milnor–Lê fibration for analytic maps ⋮ Harmonic morphisms and their Milnor fibrations ⋮ Thom irregularity and Milnor tube fibrations ⋮ On the Milnor fibration for \(f(\mathbf{z})\,\overline{g}(\mathbf{z})\) ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Lê's polyhedron for line singularities ⋮ Vanishing zones and the topology of non-isolated singularities ⋮ On the Milnor fibration for \(f(z)\bar{g}(z)\). II ⋮ Milnor-Hamm fibration for mixed maps ⋮ Complex singularities and contact topology ⋮ Boundary of the Milnor fiber of a Newton non-degenerate surface singularity ⋮ Topology of smoothings of non-isolated singularities of complex surfaces ⋮ On the Boundary of the Milnor Fiber ⋮ Milnor’s Fibration Theorem for Real and Complex Singularities ⋮ Introduction to Mixed Hypersurface Singularity ⋮ The Milnor fiber of the singularity \(f(x,y)+zg(x,y)=0\)

Cites Work

• Unnamed Item
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• Carrousel in family and non-isolated hypersurface singularities in \(\mathbb{C}^3\)
• Milnor fiber boundary of a non-isolated surface singularity
• Fibred multilinks and singularities \(f\bar g\)
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• La fonction zeta d'une monodromie
• Variation mappings on singularities with a 1-dimensional critical locus
• Über Modifikationen und exzeptionelle analytische Mengen
• Isolated singularities defined by weighted homogeneous polynomials
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• REAL ANALYTIC GERMS $f \bar{g}$ AND OPEN-BOOK DECOMPOSITIONS OF THE 3-SPHERE
• Journal of Singularities
• ERRATUM: Milnor Fibrations and the Thom Property for maps f \bar g
• Singular Points of Complex Hypersurfaces. (AM-61)
• Numbers of solutions of equations in finite fields

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