Irreducible plane sextics with large fundamental groups

Date

2009

Authors

Degtyarev, A.

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Abstract

We compute the fundamental group of the complement of each irreducible sextic of weight eight or nine (in a sense, the largest groups for irreducible sextics), as well as of 169 of their derivatives (both of and not of torus type). We also give a detailed geometric description of sextics of weight eight and nine and of their moduli spaces and compute their Alexander modules; the latter are shown to be free over an appropriate ring. © 2009 The Mathematical Society of Japan.

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Journal of the Mathematical Society of Japan

Publisher

Japan Society of Mathematical Education,Nippon Sugaku Kyoiku Gakkai

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Published Version (Please cite this version)

Language

English