Height functions on Hecke orbits and the generalised André-Pink-Zannier conjecture
DOI10.1112/s0010437x2400722xMaRDI QIDQ6648690
Andrei Yafaev, Rodolphe Richard
Publication date: 5 December 2024
Published in: Compositio Mathematica (Search for Journal in Brave)
Shimura varietiesheightsMumford-Tate conjectureHecke orbitsSiegel setsZilber-Pinkadelic linear groups
Group actions on varieties or schemes (quotients) (14L30) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50) Modular and Shimura varieties (14G35) Model theory of ordered structures; o-minimality (03C64) Linear algebraic groups over adèles and other rings and schemes (20G35) Matrix exponential and similar functions of matrices (15A16)
Cites Work
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- The hyperbolic Ax-Lindemann-Weierstraß conjecture
- On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties
- Torsion for abelian varieties of type I and II
- Galois-generic points on Shimura varieties
- Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture
- The André-Oort conjecture
- Families of abelian varieties with many isogenous fibres
- Mumford-Tate and generalised Shafarevich conjectures
- On subgroups of \(GL_ n(F_ p)\)
- Subvarieties of Shimura varieties
- Conjugacy classes of n-tuples in Lie algebras and algebraic groups
- Unipotent flows and counting lattice points on homogeneous varieties
- On the algebraic points of a definable set
- Topological and equidistributional refinement of the André-Pink-Zannier conjecture at finitely many places
- Groupes reductifs
- Conjugacy classes in Lie algebras and algebraic groups
- Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
- Height bounds and the Siegel property
- Applications du théorème d’Ax–Lindemann hyperbolique
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
- A CHARACTERIZATION OF SPECIAL SUBVARIETIES
- Congruence Properties of Zariski-Dense Subgroups I
- A Combination of the Conjectures of Mordell-Lang and André-Oort
- Ergodic theoretic proof of equidistribution of Hecke points
- ℓ-adic algebraic monodromy groups, cocharacters, and the MumfordTate conjecture
- INTEGRAL AND ADELIC ASPECTS OF THE MUMFORD–TATE CONJECTURE
- On the geometric Mumford-Tate conjecture for subvarieties of Shimura varieties
- Functions of Matrices
- Hecke operators and equidistribution of Hecke points
- Equidistribution of weakly special submanifolds and \(o\)-minimality: geometric André-Oort
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