Tate cycles on some quaternionic Shimura varieties mod \(p\)

DOI10.1215/00127094-2018-0068zbMath1502.11070arXiv1410.2321OpenAlexW3105012374MaRDI QIDQ2320371

Liang Xiao, Yichao Tian

Publication date: 22 August 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2321

zbMATH Keywords

supersingular locusTate conjectureGoren-Oort stratificationspecial fiber of hibert modular varieties

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Algebraic cycles (14C25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (6)

On the arithmetic Siegel-Weil formula for GSpin Shimura varieties ⋮ Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ Arithmetic and geometric Langlands program ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups ⋮ Fully Hodge-Newton decomposable Shimura varieties

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