Klein cubic threefold explained

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

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

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