Remarks on semi-simplicity of Alexander modules

Anatoly Libgober

Journal of Singularities
volume 25 (2022), 325-330

Received: 31 January 2021. Received in revised form: 30 June 2021.

DOI: 10.5427/jsing.2022.25n

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Abstract:

We discuss examples of smooth quasi-projective manifolds with non-reduced Alexander modules, giving a non-semisimple Alexander module in the one variable case and prove a result giving sufficient conditions for semi-simplicity.


Author(s) information:

Anatoly Libgober
Department of Mathematics
University of Illinois
Chicago, IL 60607
libgober@uic.edu