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
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Japan Society of Mathematical Education,Nippon Sugaku Kyoiku Gakkai
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English