Independence of \(\ell\) for the supports in the decomposition theorem

DOI10.1215/00127094-2017-0059zbMath1472.14021arXiv1512.01447OpenAlexW3104505767MaRDI QIDQ1667298

Shenghao Sun

Publication date: 28 August 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01447

zbMATH Keywords

decomposition theoremperverse sheaves\(\ell\)-adic cohomologyindependence of \(\ell\)perverse compatible system

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (1)

Companions on Artin stacks

Cites Work

• Parity and symmetry in intersection and ordinary cohomology
• \(L\)-series of Artin stacks over finite fields
• Decomposition theorem for perverse sheaves on Artin stacks over finite fields
• Perverse \(t\)-structure on Artin stacks
• The six operations for sheaves on Artin stacks. I: Finite coefficients
• Fourier transformat, constants of the functional equations and Weil conjecture
• La conjecture de Weil. II
• Independence of \(\ell\) in Lafforgue's theorem.
• Sur l’indépendance de $l$ en cohomologie $l$-adique sur les corps locaux
• Independence of ℓ of monodromy groups
• On a conjecture of Deligne
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