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- W2782862912 abstract "For every adic space $Z$ we construct a site $Z_t$, the tame site of $Z$. For a scheme $X$ over a base scheme $S$ we obtain a tame site by associating with $X/S$ an adic space $textit{Spa}(X,S)$ and considering the tame site $textit{Spa}(X,S)_t$. We compare the cohomology of the tame site with 'etale cohomology and show that the fundamental group of the tame site coincides with the curve-tame fundamental group. Finally, for a regular scheme $X$ over a base scheme $S$ of characteristic $p > 0$ we prove a cohomological purity theorem for the constant sheaf $mathbb{Z}/pmathbb{Z}$ on $textit{Spa}(X,S)_t$. As a corollary we obtain homotopy invariance for the the tame site of $textit{Spa}(X,S)$." @default.
- W2782862912 created "2018-01-26" @default.
- W2782862912 creator A5071671933 @default.
- W2782862912 date "2018-01-15" @default.
- W2782862912 modified "2023-09-27" @default.
- W2782862912 title "The adic tame site" @default.
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