On the cross ratio variety from the viewpoint of the root system of type $3A_{2}$
Takashi Kitazawa
Source: Osaka J. Math. Volume 45, Number 1 (2008), 91-106.
Abstract
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.
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2008 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics