Hilbert modular surfaces
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Baily , JR: The decomposition theorem for V-manifolds.
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MR Zbl Griffiths : Function theory of finite order on algebraic varieties I A. Geometry, 6 , Harder : On the cohomology of discrete arithmetically defined groups. Hirzebruch : Hilbert modular surfaces.
[math/] Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
Math, 19 , Hirzebruch and D. Zagier : Intersection numbers of curves on Hilbert Modular surfaces and modular forms of Nebentypus , Inventiones math.
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Lang : Introduction to Modular forms. Grundlehren der mathematischen Wissenschaften , Springer-Verlag Matsushima and S. Murakami : On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds.
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Periods of Hilbert Modular Surfaces (Progress in Mathematics)
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The geometric theta correspondence for Hilbert modular surfaces.
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