Irreducible plane sextics with large fundamental groups
Author
Degtyarev, A.
Date
2009Source Title
Journal of the Mathematical Society of Japan
Print ISSN
0025-5645
Electronic ISSN
1881-1167
Publisher
Japan Society of Mathematical Education,Nippon Sugaku Kyoiku Gakkai
Volume
61
Issue
4
Pages
1131 - 1169
Language
English
Type
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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.