First order deformations for rank one local systems with a non-vanishing cohomology

DOI10.1016/S0166-8641(01)00048-7zbMath1010.52016MaRDI QIDQ5960434

Anatoly S. Libgober

Publication date: 7 April 2002

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

zbMATH Keywords

deformationscharacteristic varietiescohomology of local systemsfinite CW-complexrank one local systems

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

On admissible rank one local systems, Triples of arrangements and local systems, Topology and geometry of cohomology jump loci, Topological invariants of groups and Koszul modules, Formality and finiteness in rational homotopy theory, Arithmetic group symmetry and finiteness properties of Torelli groups, Around the Tangent Cone Theorem, Hyperplane arrangements and Milnor fibrations, Characteristic varieties and logarithmic differential 1-forms, Quasi-Kähler groups, 3-manifold groups, and formality, Translated tori in the characteristic varieties of complex hyperplane arrangements, Characteristic varieties of hypersurface complements, ON THE INTERSECTION OF RATIONAL TRANSVERSAL SUBTORI, Cohomology jump loci of 3-manifolds, Flat connections and resonance varieties: From rank one to higher ranks, GENERIC VANISHING THEORY VIA MIXED HODGE MODULES

Cites Work

• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• On the homology of finite abelian coverings
• Higgs bundles and local systems
• Arrangements and cohomology
• Homotopy groups of the complements to singular hypersurfaces. II
• Arrangements and local systems
• Characteristic varieties of arrangements
• Geometry of cohomology support loci for local systems I
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item