On the generalised André-Pink-Zannier conjecture

DOI10.5802/crmath.491arXiv2109.13718OpenAlexW4390052705MaRDI QIDQ6122554

Rodolphe Richard, Andrei Yafaev

Publication date: 1 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13718

zbMATH Keywords

Shimura varietiesheightsMumford-Tate conjectureHecke orbitsSiegel setsZilber-Pinkadelic linear groups

Mathematics Subject Classification ID

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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• INTEGRAL AND ADELIC ASPECTS OF THE MUMFORD–TATE CONJECTURE
• On the geometric Mumford-Tate conjecture for subvarieties of Shimura varieties

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