The moduli space of cubic fourfolds
Algebraic Geometry
2011-09-28 v2
Abstract
We describe the GIT compactification of the moduli space of cubic fourfolds, with a special emphasis on the role played by singularities. Our main result is that a cubic fourfold with only isolated simple (A-D-E) singularities is GIT stable. Conversely, with some minor exceptions, the stability for cubic fourfolds is characterized by this condition.
Cite
@article{arxiv.0704.3256,
title = {The moduli space of cubic fourfolds},
author = {Radu Laza},
journal= {arXiv preprint arXiv:0704.3256},
year = {2011}
}