On the geometry of Wiman’s sextic

Inoue, Naoki; Kato, Fumiharu

J. Math. Kyoto Univ., Tome 45 (2005) no. 4, p. 743-757 / Harvested from Project Euclid

Résumé

We give a new version of W. L. Edge’s construction of the linear system of plane sextics containing Wiman’s sextic, by means of configuration space of 5 points on projective line. This construction reveals out more of the inner beauty of the hidden geometry of Wiman’s sextic. Furthermore, it allows one to give a friendly proof for the fact that the linear system is actually a pencil, the fact that is important in both Edge’s and our constructions.

Publié le : 2005-05-15
Classification: 14N05, 14C20

@article{1250281655,
     author = {Inoue, Naoki and Kato, Fumiharu},
     title = {On the geometry of Wiman's sextic},
     journal = {J. Math. Kyoto Univ.},
     volume = {45},
     number = {4},
     year = {2005},
     pages = { 743-757},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281655}
}

Inoue, Naoki; Kato, Fumiharu. On the geometry of Wiman’s sextic. J. Math. Kyoto Univ., Tome 45 (2005) no. 4, pp.  743-757. http://gdmltest.u-ga.fr/item/1250281655/