Realization of hyperelliptic families with the hyperelliptic semistable monodromies

Ishizaka, Mizuho

Osaka J. Math., Tome 43 (2006) no. 2, p. 103-119 / Harvested from Project Euclid

Résumé

Let $\Phi$ be an element of the mapping class group $\mathcal{M}_{g}$ of genus $g$ ($\geq 2$) such that $\Phi$ is the isotopy class of a pseudo periodic map of negative twists. It is expected that, for each $\Phi$ which commutes with a hyperelliptic involution, there exists a hyperelliptic family whose monodromy is the conjugacy class of $\Phi$ in the mapping class group. In this paper, we give a partial solution for the conjecture in the case where $\Phi$ is a semistable element.

Publié le : 2006-03-15
Classification: 14D06, 14H45, 14H15, 57M99, 30F99

@article{1146242996,
     author = {Ishizaka, Mizuho},
     title = {Realization of hyperelliptic families with the hyperelliptic semistable monodromies},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 103-119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146242996}
}

Ishizaka, Mizuho. Realization of hyperelliptic families with the hyperelliptic semistable monodromies. Osaka J. Math., Tome 43 (2006) no. 2, pp.  103-119. http://gdmltest.u-ga.fr/item/1146242996/