The moduli space of cubic fourfolds
classification
🧮 math.AG
keywords
cubicfourfoldsmodulisingularitiesspacea-d-echaracterizedcompactification
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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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