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Periods of Hilbert modular surfaces

Takayuki Oda

Proceedings of the Japan Academy Series A Mathematical Sciences · 1981 · 46 citations · 6 references

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Abstract

In this note, we announce some results on the Hodge structures attached to Hilbert modular surfaces. Details will appear elsewhere. As an application of these results, we determine the Picard numbers of some Hilbert modular surfaces.

References

6

Modular forms associated to real quadratic fields

Don Zagier · Inventiones mathematicae · 1975 · 115 citations

, , +9

Class Fields Over Real Quadratic Fields and Hecke Operators

Goro Shimura · Annals of Mathematics · 1972 · 83 citations

, , +15

On the functional equation of certain Dirichlet series

Koji Doi, Hidehisa Naganuma · Inventiones mathematicae · 1969 · 81 citations

, , +6

On the coincidence of two Dirichlet series associated with cusp forms of Hecke's ``Neben''-type and Hilbert modular forms over a real quadratic field

Hidehisa Naganuma · Journal of the Mathematical Society of Japan · 1973 · 50 citations · Full text

, , +10

On Canonical Models of Arithmetic Quotients of Bounded Symmetric Domains: II

Goro Shimura · Annals of Mathematics · 1970 · 27 citations

, , +7