The class of the locus of intermediate Jacobians of cubic threefolds

@article{Grushevsky2012TheCO,
  title={The class of the locus of intermediate Jacobians of cubic threefolds},
  author={Samuel Grushevsky and Klaus Hulek},
  journal={Inventiones mathematicae},
  year={2012},
  volume={190},
  pages={119-168}
}
We study the locus of intermediate Jacobians of cubic threefolds within the moduli space $\mathcal{A}_{5}$ of complex principally polarized abelian fivefolds, and its generalization to arbitrary genus—the locus of abelian varieties with a singular odd two-torsion point on the theta divisor. Assuming that this locus has expected codimension g (which we show to be true for g≤5, and conjecturally for any g), we compute the class of this locus, and of its closure in the perfect cone toroidal… CONTINUE READING

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