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Mathematics (1)

complex hypersurface

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Twisted Alexander invariants of complex hypersurface complements
Part of
Laurenţiu Maxim, Kaiho Tommy Wong
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 148 / Issue 5 / October 2018

Published online by Cambridge University Press:

22 April 2018, pp. 1049-1073

Print publication:

October 2018
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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 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.