Twisted Alexander invariants of complex hypersurface complements

Laurenţiu Maxim; Kaiho Tommy Wong

doi:10.1017/S0308210518000094

Twisted Alexander invariants of complex hypersurface complements

Part of: Surfaces and higher-dimensional varieties Homology and cohomology theories Singularities

Published online by Cambridge University Press: 22 April 2018

Laurenţiu Maxim and

Kaiho Tommy Wong

Show author details

Laurenţiu Maxim: Affiliation:
Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706, USA (maxim@math.wisc.edu; wong@math.wisc.edu)
Kaiho Tommy Wong: Affiliation:
Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706, USA (maxim@math.wisc.edu; wong@math.wisc.edu)

Article contents

Abstract

Rights & Permissions

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.