Non-hyperelliptic Riemann surfaces of genus five all of whose Weierstrass points have maximal weight

Horiuchi, Ryutaro

Kodai Math. J., Tome 30 (2007) no. 1, p. 379-384 / Harvested from Project Euclid

Résumé

It is proved that any non-hyperelliptic Riemann surface of genus five all of whose Weierstrass points have maximal weight has only Weierstrass points with gap sequence (1,2,3,5,9), and a defining equation of such a surface is given.

Publié le : 2007-10-14
Classification:

@article{1193924941,
     author = {Horiuchi, Ryutaro},
     title = {Non-hyperelliptic Riemann surfaces of genus five all of whose Weierstrass points have maximal weight},
     journal = {Kodai Math. J.},
     volume = {30},
     number = {1},
     year = {2007},
     pages = { 379-384},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1193924941}
}

Horiuchi, Ryutaro. Non-hyperelliptic Riemann surfaces of genus five all of whose Weierstrass points have maximal weight. Kodai Math. J., Tome 30 (2007) no. 1, pp.  379-384. http://gdmltest.u-ga.fr/item/1193924941/