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- W2897089219 abstract "We generalize the functorial quasi-isomorphism in cite{Davis2011} from overconvergent Witt de-Rham cohomology to rigid cohomology on smooth varieties over a finite field $k$, dropping the quasi-projectiveness condition. We do so by constructing an et ale hypercover for any smooth scheme $X$, refined at each level to be a disjoint union of open standard smooth subschemes of $X$. We then find, for large $N$, an $N$-truncated closed embedding into a simplicial smooth scheme over $W(k)$, which allows us to use the results of textit{loc. cit} at the simplicial level, and use cohomological descent to prove the comparison." @default.
- W2897089219 created "2018-10-26" @default.
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- W2897089219 date "2018-10-23" @default.
- W2897089219 modified "2023-09-27" @default.
- W2897089219 title "A Comparison of Overconvergent Witt de-Rham Cohomology and Rigid Cohomology on Smooth Schemes" @default.
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