Coble variety

For other varieties named after Coble, see Coble curve, Coble surface, Coble hypersurface.

In mathematics, Coble variety is a 4-dimensional variety studied by Arthur Coble.

The Coble variety is the moduli space of ordered sets of 6 points in the projective plane, and can be represented as a double cover of the projective 4-space branched over the Igusa quartic.

References

• Hunt, Bruce (1996), The geometry of some special arithmetic quotients, Lecture Notes in Mathematics, 1637, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0094399, ISBN 978-3-540-61795-2, MR 1438547