From Wikipedia, the free encyclopedia
In
algebraic geometry , a Humbert surface , studied by
Humbert (
1899 ), is a
surface in the
moduli space of principally polarized
abelian surfaces consisting of the surfaces with a symmetric
endomorphism of some fixed
discriminant .
Hulek, Klaus; Kahn, Constantin; Weintraub, Steven H. (1993),
Moduli spaces of abelian surfaces: compactification, degenerations, and theta functions , de Gruyter Expositions in Mathematics, vol. 12, Berlin: Walter de Gruyter & Co.,
ISBN
978-3-11-013851-1 ,
MR
1257185
Humbert, G. , Sur les fonctionnes abéliennes singulières. I, II, III. J. Math. Pures Appl. serie 5, t. V, 233–350 (1899); t. VI, 279–386 (1900); t. VII, 97–123 (1901)