The Alexander module of a trigonal curve

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6359.pdf (530.81 KB)

Date

2014

Authors

Degtyarev, A.

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Source Title

Revista Matemática Iberoamericana

Print ISSN

0213-2230

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Publisher

Eurpean Mathematical Society

Volume

30

Issue

1

Pages

25 - 64

Language

English

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Article

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Abstract

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


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

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Keywords

Alexander Module, Alexander Polynomial, Burau Representation, Fundamental Group, Modular Group, Trigonal Curve

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http://hdl.handle.net/11693/13134

Published Version (Please cite this version)

http://dx.doi.org/10.4171/RMI/768

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Scholarly Publications - Mathematics