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Humbert surface

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.

References

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  • 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, 233350 (1899); t. VI, 279386 (1900); t. VII, 97123 (1901)