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Let's take a scheme $X$ over a finite field $k$ and $f:X(k)\rightarrow\mathbb{Q}_{\ell}$

What kind of condition do I need on $f$ if I want that it comes from an irreducible perverse sheaf on $X$?

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  • $\begingroup$ What is a perverse sheaf on a scheme? $\endgroup$
    – Avi Steiner
    Commented Jun 3, 2016 at 17:40
  • $\begingroup$ Also, what is $X(k)$ and what sort of morphism $f$ is?:) $\endgroup$
    – Mikhail Bondarko
    Commented Jun 8, 2016 at 21:16
  • $\begingroup$ f is a function on the set of $k$-points of $X$ $\endgroup$
    – prochet
    Commented Jun 9, 2016 at 7:56

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