ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS
From MaRDI portal
Publication:6123013
DOI10.1017/nmj.2023.19arXiv2305.19134MaRDI QIDQ6123013
Xiyuan Wang, Jeffrey D. Achter, Lian Duan
Publication date: 4 March 2024
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.19134
complex multiplicationGalois representationstorsion pointsDiophantine geometryabelian varieties over number fields
Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the \(\ell\)-adic Galois representations attached to nonsimple abelian varieties
- Torsion for abelian varieties of type I and II
- A criterion for independence of a family of \(\ell\)-adic representations
- A note on the Mumford-Tate conjecture for CM abelian varieties
- Torsion points of abelian varieties with values in infinite extensions over a \(p\)-adic field
- Algebraic groups associated with abelian varieties
- Algebraic cycles on Abelian varieties of Fermat type
- Endomorphisms and torsion of Abelian varieties
- On subgroups of \(GL_ n(F_ p)\)
- Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
- Fields of definition for homomorphisms of abelian varieties
- On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
- Families of motives and the Mumford-Tate conjecture
- Independence of \(\ell\)-adic representations of geometric Galois groups
- On the torsion points of Drinfeld modules in abelian extensions
- Hodge classes on abelian varieties of low dimension
- Cohomology and torsion cycles over the maximal cyclotomic extension
- Good reduction of abelian varieties
- Algebraic cycles on abelian varieties of complex multiplication type
- Galois properties of points of finite order of elliptic curves
- Rational points of Abelian varieties with values in towers of number fields
- Algebraic Groups
- Finite subgroups of algebraic groups
- On the relative motive of a commutative group scheme
- Hodge Classes on Certain Types of Abelian Varieties
- A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
- Galois Action on Division Points of Abelian Varieties with Real Multiplications
- ℓ-adic algebraic monodromy groups, cocharacters, and the MumfordTate conjecture
- Derived 𝑙-adic categories for algebraic stacks
- INTEGRAL AND ADELIC ASPECTS OF THE MUMFORD–TATE CONJECTURE
- [https://portal.mardi4nfdi.de/wiki/Publication:5204042 The Mumford�Tate conjecture for products of abelian varieties]
- Lower bounds for ranks of Mumford-Tate groups
- Some cases of the Mumford-Tate conjecture and Shimura varieties
- Non-isogenous abelian varieties sharing the same division fields
This page was built for publication: ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS