-independence for compatible systems of (mod ) representations
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Publication:2947949
DOI10.1112/S0010437X14007969zbMath1329.11059arXiv1305.2001MaRDI QIDQ2947949
Publication date: 29 September 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.2001
étale cohomologyGalois representationscomplex semisimple Lie algebrasbig Galois image\(l\)-independence
Étale and other Grothendieck topologies and (co)homologies (14F20) Galois representations (11F80) Finite simple groups and their classification (20D05)
Related Items (7)
Type A images of Galois representations and maximality ⋮ On the rationality of certain type A Galois representations ⋮ Maximality of Galois actions for abelian and hyper-Kähler varieties ⋮ Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$ ⋮ Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations ⋮ The abelian part of a compatible system and \(\ell \)-independence of the Tate conjecture ⋮ Group-theoretical independence of $\ell $-adic Galois representations
Cites Work
- Expander graphs, gonality, and variation of Galois representations
- Finiteness theorems for abelian varieties over number fields.
- On subgroups of \(GL_ n(F_ p)\)
- Smoothness, semi-stability and alterations
- La conjecture de Weil. I
- Monodromy of Galois representations and equal-rank subalgebra equivalence
- Serre's tame inertia conjecture
- Galois properties of points of finite order of elliptic curves
- An open-image theorem for a general class of abelian varieties
- Number of Points of Varieties in Finite Fields
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