Characteristic varieties and constructible sheaves

DOI10.4171/RLM/503zbMath1139.14009arXivmath/0702871MaRDI QIDQ931056

Alexandru Dimca

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702871

zbMATH Keywords

Characteristic varietyConstructible sheafLocal systemPencil of curvesTwisted cohomology

Mathematics Subject Classification ID

Plane and space curves (14H50) Relations with arrangements of hyperplanes (32S22) Rational and birational maps (14E05) (Co)homology theory in algebraic geometry (14F99) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (13)

On admissible rank one local systems ⋮ A description of the resonance variety of a line combinatorics via combinatorial pencils ⋮ Topology and geometry of cohomology jump loci ⋮ Generic vanishing, 1-forms, and topology of Albanese maps ⋮ Characteristic varieties of quasi-projective manifolds and orbifolds ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Completely reducible hypersurfaces in a pencil ⋮ Characteristic varieties and logarithmic differential 1-forms ⋮ Quasi-Kähler groups, 3-manifold groups, and formality ⋮ Free and nearly free curves from conic pencils ⋮ The Morse complex of a line arrangement ⋮ On the fundamental groups of normal varieties ⋮ Sigma-invariants and tropical varieties

Cites Work

• Unnamed Item
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• Geometry of cohomology support loci for local systems I
• Irrational Pencils on Non-Compact Algebraic Manifolds

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