Alexandru Dimca, Stefan Papadima and Alexandru Suciu: Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets, p.257-269


We relate the geometry of the resonance varieties associated to a commutative differential graded algebra model of a space to the finiteness properties of the completions of its Alexander-type invariants. We also describe in simple algebraic terms the non-translated components of the degree-one characteristic varieties for a class of non-proper complex manifolds.

Key Words: Resonance varieties, characteristic varieties, Alexander invariants, completion, Gysin models, intersection form.

2000 Mathematics Subject Classification: Primary: 14M12, 55N25,
Secondary: 14F35, 20J05.

Download the paper in pdf format here.