Perversity, duality, and arrangements in \(\mathbb{C}^ 3\)

DOI10.1016/0166-8641(96)00072-7zbMath0867.32018OpenAlexW2069180764MaRDI QIDQ2565107

David B. Massey

Publication date: 7 January 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(96)00072-7

zbMATH Keywords

monodromycharacteristic polynomialvanishing cyclesBetti numbersVerdier dualityperverse sheavesMilnor fibrehyperplane arrangement in \(\mathbb{C}^ 3\)

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Analytic sheaves and cohomology groups (32C35) Milnor fibration; relations with knot theory (32S55) Topology of vector bundles and fiber bundles (57R22) Deformations of complex singularities; vanishing cycles (32S30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Analytic subsets of affine space (32B15)

Related Items (4)

Spectral pairs, Alexander modules, and boundary manifolds ⋮ The homology groups of the Milnor fiber associated to a central arrangement of hyperplanes in \(\mathbb C^3\) ⋮ Nonresonance conditions for arrangements. ⋮ Some cyclic covers of complements of arrangements

Cites Work

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• The Lê varieties. II
• The Thom condition along a line
• The Lê varieties. I
• Combinatorics and topology of complements of hyperplanes
• Fibre de Milnor d'un cône sur une courbe plane singulière
• Singularities and topology of hypersurfaces
• Deformation of polar methods
• Lê cycles and hypersurface singularities
• On Milnor Fibrations of Arrangements
• Singular Points of Complex Hypersurfaces. (AM-61)

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