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Nov 26, 2020 at 21:41 history edited David Loeffler CC BY-SA 4.0
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Nov 26, 2020 at 15:25 history edited David Loeffler CC BY-SA 4.0
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Nov 26, 2020 at 14:15 history edited David Loeffler CC BY-SA 4.0
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Nov 25, 2020 at 22:22 comment added Pol van Hoften The bound is the one you want: If $X_{\overline{k}}$ has dimension $d$ then there are at most $2d+1$ terms on the $E_1$ page of the weight specral sequence that contribue to a single degree of cohomology, and each of these terms is pure of a weight between $0$ and $2d$. For instance, there are 3 terms contributing to the middle degree cohomology of a curve with semistable reduction, and the possible weights are $0,1,2$. In this case the weight-monodromy conjecture is known.
Nov 25, 2020 at 21:58 history answered David Loeffler CC BY-SA 4.0