Fundamental groups, Alexander invariants, and cohomology jumping loci

zbMath1214.14017arXiv0910.1559MaRDI QIDQ2998306

Alexander I. Suciu

Publication date: 18 May 2011

Full work available at URL: https://arxiv.org/abs/0910.1559

zbMATH Keywords

Kähler manifoldfundamental groupformalityAlexander polynomialcharacteristic varietyMilnor fibrationhyperplane arrangementright-angled Artin groupabelian coverquasi-Kähler manifoldresonance varietyboundary manifoldBieri-Neumann-Strebel-Renz invariant

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Relations with arrangements of hyperplanes (32S22) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (11)

Chen ranks and resonance ⋮ Vanishing of higher order Alexander‐type invariants of plane curves ⋮ Around the Tangent Cone Theorem ⋮ Higher Resonance Varieties of Matroids ⋮ The isomorphism problem for a family of one-relator groups ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Finiteness properties of the Johnson subgroups ⋮ The BNS-invariant for the pure braid groups. ⋮ Higher order degrees of affine plane curve complements ⋮ Chen ranks and resonance varieties of the upper McCool groups ⋮ Line arrangements and configurations of points with an unexpected geometric property

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