Igusa quartic
In algebraic geometry, the Igusa quartic (also called the Castelnuovo–Richmond quartic CR4 or the Castelnuovo–Richmond–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.
It can be given as a codimension 2 variety in P5 by the equations
References
- Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge University Press, ISBN 978-1-107-01765-8
- 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
This article is issued from Wikipedia - version of the 8/17/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.