On the cross ratio variety from the viewpoint of the root system of type $3A_{2}$

Kitazawa, Takashi

Osaka J. Math., Tome 45 (2008) no. 1, p. 91-106 / Harvested from Project Euclid

Résumé

We observe Naruki's cross ratio variety from the viewpoint of the root system of type $3A_{2}$. We construct some kind of models as moduli space of marked cubic surfaces on which the action of a Weyl subgroup of type $3A_{2}$ and its normalizer can be easily observed. We describe the structure of our model and its relationship to the cross ratio variety.

Publié le : 2008-03-15
Classification: 14J10

@article{1205503558,
     author = {Kitazawa, Takashi},
     title = {On the cross ratio variety from the viewpoint of the root system of type $3A\_{2}$},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 91-106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1205503558}
}

Kitazawa, Takashi. On the cross ratio variety from the viewpoint of the root system of type $3A_{2}$. Osaka J. Math., Tome 45 (2008) no. 1, pp.  91-106. http://gdmltest.u-ga.fr/item/1205503558/