arXiv:0704.3256 Abstract | arXiv Analytics

arXiv:0704.3256 [math.AG]Abstract References Reviews Resources

The moduli space of cubic fourfolds

Published 2007-04-24, updated 2008-09-04Version 2

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.

Comments: 28 pages, part I (the GIT compactification), the journal version

Journal: J. Algebraic Geom. 18 (2009), 511-545

Categories: math.AG

Subjects: 14J10, 14D22, 14D25, 14J35

Keywords: cubic fourfold, moduli space, minor exceptions, main result, git compactification

Tags: journal article

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