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- W3102861711 abstract "We study the homology jump loci of a chain complex over an affine k-algebra. When the chain complex is the first page of the equivariant spectral sequence associated to a regular abelian cover of a finite-type CW-complex, we relate those jump loci to the resonance varieties associated to the cohomology ring of the space. As an application, we show that vanishing resonance implies a certain finiteness property for the completed Alexander invariants of the space. We also show that vanishing resonance is a Zariski open condition, on a natural parameter space for connected, finite-dimensional commutative graded algebras." @default.
- W3102861711 created "2020-11-23" @default.
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- W3102861711 date "2014-01-01" @default.
- W3102861711 modified "2023-10-12" @default.
- W3102861711 title "Jump loci in the equivariant spectral sequence" @default.
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- W3102861711 doi "https://doi.org/10.4310/mrl.2014.v21.n4.a13" @default.
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