Counting points of schemes over finite rings and counting representations of arithmetic lattices

DOI10.1215/00127094-2018-0021zbMath1436.14044arXiv1502.07004OpenAlexW2286835934WikidataQ129236449 ScholiaQ129236449MaRDI QIDQ1626580

Nir Avni, Avraham Aizenbud

Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1502.07004

zbMATH Keywords

complete intersectionrational singularitiesIgusa zeta functionrepresentation growthrepresentation zeta functionpoints of schemes over finite ring

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Singularities in algebraic geometry (14B05) Rational points (14G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Linear algebraic groups over global fields and their integers (20G30) Asymptotic properties of groups (20F69)

Related Items (7)

Rational Singularities, Quiver Moment Maps, and Representations of Surface Groups ⋮ A number theoretic characterization of \(E\)-smooth and (FRS) morphisms: estimates on the number of \(\mathbb{Z}/p^k\mathbb{Z}\)-points ⋮ Spectral equivalence of smooth group schemes over principal ideal local rings ⋮ On singularity properties of convolutions of algebraic morphisms ⋮ On rational singularities and counting points of schemes over finite rings ⋮ Applications of algebraic combinatorics to algebraic geometry ⋮ On singularity properties of convolutions of algebraic morphisms ‐ the general case

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