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

作者：Dimca Alexandru^*; Papadima Stefan; Suciu Alexandru

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2015, 58(3): 257-269.

• Resonance varieties
• characteristic varieties
• Alexander invariants
• completion
• Gysin models
• intersection form

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.

• 出版日期2015
• 单位东北大学