Author:
Maxim Laurenţiu,Wong Kaiho Tommy
Abstract
We define and study twisted Alexander-type invariants of complex hypersurface complements. We investigate torsion properties for the twisted Alexander modules and extend the local-to-global divisibility results of Maxim and of Dimca and Libgober to the twisted setting. In the process, we also study the splitting fields containing the roots of the corresponding twisted Alexander polynomials.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. Mixed Hodge Structures on Alexander Modules;Memoirs of the American Mathematical Society;2024-04
2. On the topology of complex projective hypersurfaces;Research in the Mathematical Sciences;2024-02-27
3. Hodge theory on Alexander invariants – A survey;Topology and its Applications;2022-05
4. Twisted Alexander modules of hyperplane arrangement complements;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-02-26
5. Epilogue;Graduate Texts in Mathematics;2019