The homology groups of the Milnor fiber associated to a central arrangement of hyperplanes in \(\mathbb C^3\)

DOI10.1016/j.topol.2013.05.003zbMath1284.52023arXiv1110.0822OpenAlexW2058413984MaRDI QIDQ387913

Kristopher Williams

Publication date: 17 December 2013

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

Full work available at URL: https://arxiv.org/abs/1110.0822

zbMATH Keywords

covering spaceshyperplane arrangementMilnor fiberline arrangement

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Topological aspects of complex manifolds (32Q55) Milnor fibration; relations with knot theory (32S55)

Related Items (4)

Homology graph of real arrangements and monodromy of Milnor fiber ⋮ Double coverings of arrangement complements and 2-torsion in Milnor fiber homology ⋮ Resonant bands, Aomoto complex, and real 4-nets ⋮ Degeneration of Orlik-Solomon algebras and Milnor fibers of complex line arrangements

Cites Work

• Singularities and topology of hypersurfaces
• Homotopy types of line arrangements
• Product theorem of the fundamental group of a reducible curve
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• Torsion in Milnor fiber homology
• Nonresonance conditions for arrangements.
• Combinatorial group theory.
• Hyperplane arrangements and Lefschetz's hyperplane section theorem
• Perversity, duality, and arrangements in \(\mathbb{C}^ 3\)
• Characteristic varieties of arrangements
• On Milnor Fibrations of Arrangements
• Singular Points of Complex Hypersurfaces. (AM-61)
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