Modular Shimura varieties and forgetful maps

DOI10.1090/S0002-9947-03-03408-1zbMath1049.11061arXivmath/0303163MaRDI QIDQ4441762

Victor Rotger

Publication date: 7 January 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303163

zbMATH Keywords

quaternion algebrasShimura varietyHilbert-Blumenthal variety

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (8)

On equations defining fake elliptic curves ⋮ Non-elliptic Shimura curves of genus one ⋮ Icosahedral invariants and Shimura curves ⋮ Quaternionic loci in Siegel's modular threefold ⋮ Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves ⋮ Number of Kummer structures and moduli spaces of generalized Kummer surfaces ⋮ Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves ⋮ The arithmetic of QM-abelian surfaces through their Galois representations

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• MODULARITY CONJECTURE FOR Q-CURVES AND QM-CURVES
• Hilbert symbols, class groups and quaternion algebras

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