Independence of ℓ of monodromy groups
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Publication:4813572
DOI10.1090/S0894-0347-04-00456-4zbMath1079.14029arXivmath/0206147MaRDI QIDQ4813572
Publication date: 13 August 2004
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0206147
Étale and other Grothendieck topologies and (co)homologies (14F20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Related Items (8)
\(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields ⋮ Independence of \(\ell\) for the supports in the decomposition theorem ⋮ The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) ⋮ On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field ⋮ The abelian part of a compatible system and \(\ell \)-independence of the Tate conjecture ⋮ Rank 2 local systems and abelian varieties ⋮ On the semisimplicity of reductions and adelic openness for 𝐸-rational compatible systems over global function fields ⋮ The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals
Cites Work
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- La conjecture de Weil. II
- On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
- Determining representations from invariant dimensions
- Smoothness, semi-stability and alterations
- Independence of \(\ell\) in Lafforgue's theorem.
- Space filling curves over finite fields
- Drinfeld shtukas and Langlands correspondence.
- La conjecture de Weil. I
- Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence
- Some consequences of the Riemann hypothesis for varieties over finite fields
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