On combinatorial invariance of the cohomology of Milnor fiber of arrangements and Catalan equation over function field

zbMath1260.14035arXiv1011.0191MaRDI QIDQ2906432

Anatoly S. Libgober

Publication date: 5 September 2012

Full work available at URL: https://arxiv.org/abs/1011.0191

zbMATH Keywords

arrangementsMilnor fiberMordell-Weil groupsAlexander polynomialsmonodromiesCatalan equationcombinatorial invariance

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Relations with arrangements of hyperplanes (32S22) Coverings of curves, fundamental group (14H30) Relations with algebraic geometry and topology (11F23)

Related Items (10)

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements ⋮ Configurations of points and topology of real line arrangements ⋮ Around the Tangent Cone Theorem ⋮ Some computations on the characteristic variety of a line arrangement ⋮ Double coverings of arrangement complements and 2-torsion in Milnor fiber homology ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Modular equalities for complex reflection arrangements ⋮ Depth of cohomology support loci for quasi-projective varieties via orbifold pencils ⋮ Milnor fibers of real line arrangements ⋮ Resonant bands, Aomoto complex, and real 4-nets

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