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.
Publié le : 2009-10-15
Classification:
plane sextic,
torus type,
fundamental group,
trigonal curve,
14H30,
14H45
@article{1257520503,
author = {DEGTYAREV, Alex},
title = {Irreducible plane sextics with large fundamental groups},
journal = {J. Math. Soc. Japan},
volume = {61},
number = {3},
year = {2009},
pages = { 1131-1169},
language = {en},
url = {http://dml.mathdoc.fr/item/1257520503}
}
DEGTYAREV, Alex. Irreducible plane sextics with large fundamental groups. J. Math. Soc. Japan, Tome 61 (2009) no. 3, pp. 1131-1169. http://gdmltest.u-ga.fr/item/1257520503/