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- W3107568674 abstract "We consider several conjectures on the independence of $ell$ of the 'etale cohomology of (singular, open) varieties over $bar{mathbf F}_p$. The main result is that independence of $ell$ of the Betti numbers $h^i_{text{c}}(X,mathbf Q_ell)$ for arbitrary varieties is equivalent to independence of $ell$ of homological equivalence $sim_{text{hom},ell}$ for cycles on smooth projective varieties. We give several other equivalent statements. As a surprising consequence, we prove that independence of $ell$ of Betti numbers for smooth quasi-projective varieties implies the same result for arbitrary separated finite type $k$-schemes." @default.
- W3107568674 created "2020-12-07" @default.
- W3107568674 creator A5086820770 @default.
- W3107568674 date "2020-11-30" @default.
- W3107568674 modified "2023-09-27" @default.
- W3107568674 title "The equivalence of several conjectures on independence of $ell$" @default.
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- W3107568674 doi "https://doi.org/10.46298/epiga.2020.volume4.5570" @default.
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