The moduli space of cubic fourfolds

Radu Laza

doi:10.1090/S1056-3911-08-00506-7

The moduli space of cubic fourfolds

Radu Laza

Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We describe the GIT compactification of the moduli space of cubic fourfolds (cubic hypersurfaces in the five dimensional projective space), 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.

Original language	English
Pages (from-to)	511-545
Number of pages	35
Journal	Journal of Algebraic Geometry
Volume	18
Issue number	3
DOIs	https://doi.org/10.1090/S1056-3911-08-00506-7
State	Published - 2009

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The moduli space of cubic fourfolds

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