Twisted Alexander invariants of complex hypersurface complements
classification
🧮 math.AT
keywords
twistedalexandercomplementscomplexhypersurfaceinvariantsalexander-typeclassical
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We define and study twisted Alexander-type invariants of complex hypersurface complements. We investigate torsion properties for the twisted Alexander modules and extend classical local-to-global divisibility results to the twisted setting. In the process, we also study the splitting fields containing the roots of the corresponding twisted Alexander polynomials.
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