On the PSL(2,19)-invariant cubic sevenfold
Algebraic Geometry
2013-01-08 v1
Abstract
It has been proved by Adler that there exists a unique cubic hypersurface X in P^8 which is invariant under the action of the simple group PSL(2,19). In the present note we study the intermediate Jacobian of X and in particular we prove that the subjacent 85-dimensional torus is an Abelian variety. The symmetry group G=PSL(2,19) defines uniquely a G-invariant abelian 9-fold A(X), which we study in detail and describe its period lattice.
Keywords
Cite
@article{arxiv.1301.1142,
title = {On the PSL(2,19)-invariant cubic sevenfold},
author = {Atanas Iliev and Xavier Roulleau},
journal= {arXiv preprint arXiv:1301.1142},
year = {2013}
}
Comments
14 pages, comments welcome