On the supersingular locus in Hilbert-Blumenthal $4$-folds

DOI10.1090/S1056-3911-03-00352-7zbMath1059.14031MaRDI QIDQ4435592

Chia-Fu Yu

Publication date: 17 November 2003

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

totally real fieldsHilbert-Blumenthal abelian varieties

Mathematics Subject Classification ID

(4)-folds (14J35) Abelian varieties of dimension (> 1) (11G10) Modular and Shimura varieties (14G35) Moduli, classification: analytic theory; relations with modular forms (14J15) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

On reduction of Hilbert-Blumenthal varieties. ⋮ Stratifying Lie strata of Hilbert modular varieties ⋮ Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups ⋮ The isomorphism classes of abelian varieties of CM-type. ⋮ Variations of mass formulas for definite division algebras ⋮ On the mass formula of supersingular abelian varieties with real multiplications ⋮ On counting certain abelian varieties over finite fields ⋮ Fully Hodge-Newton decomposable Shimura varieties ⋮ Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ On arithmetic of the superspecial locus ⋮ Superspecial Abelian varieties and the Eichler basis problem for Hilbert modular forms ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\) ⋮ On the slope stratification of certain Shimura varieties

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