Finite flatness of torsion subschemes of Hilbert-Blumenthal abelian varieties

DOI10.1515/CRLL.2001.016zbMath0976.14028OpenAlexW2023357096MaRDI QIDQ2706825

Jordan S. Ellenberg

Publication date: 28 June 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3da58fd50d25b87df9f5ee5fdec364d79bdc21e2

zbMATH Keywords

Hilbert modular formsdiscrete valuation ringreal multiplicationDiophantine equationsfinite group schemesHilbert-Blumenthal Abelian variety

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Complex multiplication and abelian varieties (14K22) Higher degree equations; Fermat's equation (11D41) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Algebraic theory of abelian varieties (14K05) Totally real fields (11R80)

Related Items (1)

Otto Blumenthal (1876--1944) in retrospect

Cites Work

• Hilbertsche Modulformen und Modulfunktionen zu \(Q(\sqrt{8})\)
• Arithmetic Moduli of Elliptic Curves. (AM-108)
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