On the mass formula of supersingular abelian varieties with real multiplications
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Publication:5694830
DOI10.1017/S1446788700008582zbMath1137.11323OpenAlexW2076280781WikidataQ114116372 ScholiaQ114116372MaRDI QIDQ5694830
Publication date: 5 October 2005
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788700008582
Abelian varieties of dimension (> 1) (11G10) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items (13)
Mass formula for supersingular Drinfeld modules ⋮ Mass formula for supersingular abelian surfaces ⋮ Stratifying Lie strata of Hilbert modular varieties ⋮ Mass formula of division algebras over global function fields ⋮ Superspecial abelian varieties over finite prime fields ⋮ Variations of mass formulas for definite division algebras ⋮ Simple mass formulas on Shimura varieties of PEL-type ⋮ Abelian varieties over finite fields as basic abelian varieties ⋮ On counting certain abelian varieties over finite fields ⋮ Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ Superspecial Abelian varieties and the Eichler basis problem for Hilbert modular forms ⋮ Irreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structure ⋮ On reduction of moduli schemes of abelian varieties with definite quaternion multiplications
Cites Work
- On the non ordinary locus in Hilbert-Blumenthal surfaces
- Moduli of supersingular abelian varieties
- Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
- On reduction of Hilbert-Blumenthal varieties.
- Algebraic modular forms
- Isogenieklassen von Punkten von SHIMURA mannigfaltigkeiten mit Werten in einem endlichen Körper
- Points on Some Shimura Varieties Over Finite Fields
- Some exact formulas on quaternion unitary groups
- On the supersingular locus in Hilbert-Blumenthal $4$-folds
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