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arXiv · 0704.3256

The moduli space of cubic fourfolds

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.

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BibTeXRIS

Radu Laza. 2008-09-04. The moduli space of cubic fourfolds. https://arxiv.org/abs/0704.3256

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