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

DOI10.2140/ant.2017.11.2213zbMath1423.11111arXiv1410.2343OpenAlexW3103576442MaRDI QIDQ1689475

David Helm, Liang Xiao, Yichao Tian

Publication date: 12 January 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2343

zbMATH Keywords

supersingular locusTate conjectureDeligne-Lusztig varietiesspecial fiber of Shimura varieties

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Algebraic cycles (14C25) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

Arithmetic and geometric Langlands program ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Fully Hodge-Newton decomposable Shimura varieties ⋮ On the Bruhat-Tits stratification of a quaternionic unitary Rapoport-Zink space ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\) ⋮ Deligne–Lusztig varieties and basic EKOR strata

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