Klein cubic threefold

In algebraic geometry, the Klein cubic threefold is the non-singular cubic threefold in 4-dimensional projective space given by the equation

$V^{2}W+W^{2}X+X^{2}Y+Y^{2}Z+Z^{2}V=0$

studied by Template:Harvtxt. Its automorphism group is the group PSL₂(11) of order 660 Template:Harv. It is unirational but not a rational variety. Template:Harvtxt showed that it is birational to the moduli space of (1,11)-polarized abelian surfaces.

References

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