Equidistribution of Hodge loci II

DOI10.1112/S0010437X22007795OpenAlexW3143811163MaRDI QIDQ5060155

Salim Tayou, Nicolas Tholozan

Publication date: 18 January 2023

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15717

zbMATH Keywords

homogeneous spacesLie groupsequidistributionHodge locus

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Complex multiplication and moduli of abelian varieties (11G15) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (1)

On the distribution of the Hodge locus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic subgroups of algebraic groups
• Representations of integers by an invariant polynomial and unipotent flows
• Hyperbolic distribution problems and half-integral weight Maass forms
• The determinantal formula of Schubert calculus
• Hirzebruch's proportionality theorem in the non-compact case
• On the real exponential field with restricted analytic functions
• Joint equidistribution of CM points
• Superconnections, theta series, and period domains
• Exceptional isogenies between reductions of pairs of elliptic curves
• Subgroup growth.
• Singular symmetric matrices
• Geometric categories and o-minimal structures
• On the closure of the Hodge locus of positive period dimension
• Picard ranks of \(K3\) surfaces over function fields and the Hecke orbit conjecture
• Exceptional splitting of reductions of abelian surfaces
• On the equidistribution of some Hodge loci
• Projections of semi-analytic sets
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Mumford-Tate Groups and Domains
• Lectures on K3 Surfaces
• Ergodic theoretic proof of equidistribution of Hecke points
• Bounds on the Dimension of Variations of Hodge Structure
• On the space of ergodic invariant measures of unipotent flows
• Oort’s conjecture for $A_{g} \otimes {\mathbb {C}}$
• On the Locus of Hodge Classes
• Cycles on the Moduli Space of Abelian Varieties
• Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields
• Reductions of abelian surfaces over global function fields
• Tame topology of arithmetic quotients and algebraicity of Hodge loci
• Travaux de Shimura
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
• Hecke operators and equidistribution of Hecke points
• Completeness of certain pseudo-Riemannian (locally) symmetric spaces

This page was built for publication: Equidistribution of Hodge loci II