Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 61, Number 4 (2009), 1131-1169.
Irreducible plane sextics with large fundamental groups
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.
J. Math. Soc. Japan, Volume 61, Number 4 (2009), 1131-1169.
First available in Project Euclid: 6 November 2009
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H30: Coverings, fundamental group [See also 14E20, 14F35]
Secondary: 14H45: Special curves and curves of low genus
DEGTYAREV, Alex. Irreducible plane sextics with large fundamental groups. J. Math. Soc. Japan 61 (2009), no. 4, 1131--1169. doi:10.2969/jmsj/06141131. https://projecteuclid.org/euclid.jmsj/1257520503