Counting points on Igusa varieties

DOI10.1215/00127094-2009-004zbMath1218.11061OpenAlexW2047724325MaRDI QIDQ1000602

Sug Woo Shin

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1215/00127094-2009-004

zbMATH Keywords

cohomologyShimura varietycounting-point formulaIgusa variety

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Arithmetic aspects of modular and Shimura varieties (11G18) Varieties over finite and local fields (11G25)

Related Items (14)

A stable trace formula for Igusa varieties ⋮ On the p-adic cohomology of the Lubin-Tate tower ⋮ A trace formula approach to control theorems for overconvergent automorphic forms ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ \(H^0\) of Igusa varieties via automorphic forms ⋮ The cohomology of Shimura varieties with torsion coefficients ⋮ Points on Shimura varieties modulo primes ⋮ The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces ⋮ Galois representations arising from some compact Shimura varieties ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields ⋮ On Galois cohomology of connected reductive groups and Kottwitz exact sequence ⋮ Local-global compatibility and the action of monodromy on nearby cycles ⋮ Counting points on Igusa varieties ⋮ On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic

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