The Alexander module of a trigonal curve

Degtyarev, Alex

doi:10.4171/RMI/768

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The Alexander module of a trigonal curve

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Degtyarev, Alex
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.4171/RMI/768
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Citation

Degtyarev, A. (2014). The Alexander module of a trigonal curve. Revista Matemática Iberoamericana, 30(1), 25-64. doi:10.4171/RMI/768.

Cite as: https://hdl.handle.net/21.11116/0000-0006-9521-C

Abstract

We describe the Alexander modules and Alexander polynomials (both over Q\mathbb{Q}Q and over finite fields Fp\mathbb{F}_pFp) of generalized trigonal curves. The rational case is completely resolved; in the case of characteristic p>0p>0p>0, a few points remain open. The results obtained apply as well to plane curves with deep singularities.