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In algebraic geometry, the Igusa quartic is a quartic hypersurface in 4-dimensional projective space, studied by Igusa (1962). It is closely related to the moduli space of genus 2 curves with level 2 structure. It is the dual of the Segre cubic.

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
Igusa, Jun-ichi (1962), "On Siegel Modular Forms of Genus Two", American Journal of Mathematics (The Johns Hopkins University Press) 84 (1): 175–200, doi:10.2307/2372812, ISSN 0002-9327, JSTOR 2372812