An Open Adelic Image Theorem for Abelian Schemes

DOI10.1093/imrn/rnu259zbMath1352.14030OpenAlexW2013187721MaRDI QIDQ3451032

Anna Cadoret

Publication date: 10 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnu259

zbMATH Keywords

Galois representation1-motiveTate moduleabelian schemeétale fundamental groupadele

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (10)

Geometric monodromy -- semisimplicity and maximality ⋮ Maximality of Galois actions for abelian and hyper-Kähler varieties ⋮ Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations ⋮ INTEGRAL AND ADELIC ASPECTS OF THE MUMFORD–TATE CONJECTURE ⋮ CATEGORICITY OF MODULAR AND SHIMURA CURVES ⋮ TORSION OF ABELIAN VARIETIES OVER LARGE ALGEBRAIC EXTENSIONS OF ⋮ Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers ⋮ On the geometric Mumford-Tate conjecture for subvarieties of Shimura varieties ⋮ A variational open image theorem in positive characteristic ⋮ Surjectivity of Galois representations in rational families of abelian varieties

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