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- W2788892831 abstract "For $X$ a smooth projective variety over a field $k$, we consider the Hochschild-Serre spectral sequence for the 'etale cohomology of $X$ with $qit_{ell}/zit_{ell}$ coefficients and prove a partial degeneration result; in particular, we obtain a finiteness statement about the cokernel of the edge map. We use this to give a quick proof of a result of Colliot-Th'el`ene and Skorobogatov on the Brauer group that allows us to obtain estimates for the cokernel of the edge map in characteristic $p>0$ (modulo $p$-primary torsion). We also obtain a result for the higher cohomology of $git_{m}$ in characteristic $0$." @default.
- W2788892831 created "2018-03-06" @default.
- W2788892831 creator A5086862540 @default.
- W2788892831 date "2018-02-24" @default.
- W2788892831 modified "2023-09-27" @default.
- W2788892831 title "On the edge map in the Hochschild-Serre spectral sequence" @default.
- W2788892831 hasPublicationYear "2018" @default.
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