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Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets

arXiv:1407.8027

Abstract

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.

14 pages