Advanced Studies in Pure Mathematics

The Alexander module of a trigonal curve. II

Alex Degtyarev

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We complete the enumeration of the possible roots of the Alexander polynomial (both conventional and over finite fields) of a trigonal curve. The curves are not assumed proper or irreducible.

Article information

Singularities in Geometry and Topology 2011, V. Blanlœil and O. Saeki, eds. (Tokyo: Mathematical Society of Japan, 2015), 47-69

Received: 17 February 2012
Revised: 19 September 2012
First available in Project Euclid: 19 October 2018

Permanent link to this document euclid.aspm/1539916279

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H30: Coverings, fundamental group [See also 14E20, 14F35]
Secondary: 14H45: Special curves and curves of low genus 14H50: Plane and space curves 20F36: Braid groups; Artin groups

Trigonal curve fundamental group Alexander module Alexander polynomial Burau representation modular group


Degtyarev, Alex. The Alexander module of a trigonal curve. II. Singularities in Geometry and Topology 2011, 47--69, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06610047.

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