On the non ordinary locus in Hilbert-Blumenthal surfaces

DOI10.1007/s002080050270zbMath0919.14014OpenAlexW2045021783MaRDI QIDQ1291059

Eitan Bachmat, Eyal Z. Goren

Publication date: 30 June 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050270

zbMATH Keywords

divisorpositive characteristicHilbert-Blumenthal surfacesmoduli space for abelian surfaces with real multiplicationnon-ordinary locussingular modular surface

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Finite ground fields in algebraic geometry (14G15) Algebraic moduli of abelian varieties, classification (14K10) 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 (9)

On reduction of Hilbert-Blumenthal varieties. ⋮ Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ Supersingular curves on Picard modular surfaces modulo an inert prime ⋮ Local torsion on abelian surfaces with real multiplication by ${\bf Q}(\sqrt{5})$ ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups ⋮ On Goren–Oort stratification for quaternionic Shimura varieties ⋮ On the mass formula of supersingular abelian varieties with real multiplications ⋮ A note on the characteristic p nonabelian Hodge theory in the geometric case

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