ON THE HILBERT–BLUMENTHAL MODULI PROBLEM

DOI10.1017/S1474748005000174zbMath1087.14022arXivmath/0307325OpenAlexW2119606095MaRDI QIDQ5715529

Inken Vollaard

Publication date: 3 January 2006

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307325

zbMATH Keywords

Hilbert-Blumenthal abelian varietiesbad reduction of Shimura varieties

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (7)

Faltings heights of CM cycles and derivatives of \(L\)-functions ⋮ Borcherds products and arithmetic intersection theory on Hilbert modular surfaces ⋮ GEOMETRIC WEIGHT-SHIFTING OPERATORS ON HILBERT MODULAR FORMS IN CHARACTERISTIC p ⋮ Intersection theory on Shimura surfaces. II ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Intersection theory on Shimura surfaces ⋮ On reduction of moduli schemes of abelian varieties with definite quaternion multiplications

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