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Results tagged with at.algebraic-topology
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user 148020
Homotopy theory, homological algebra, algebraic treatments of manifolds.
1
vote
0
answers
294
views
action of étale fundamental group on the cover
I have a Galois cover $f \colon Y \rightarrow X$, i.e $f$ is finite étale and $deg(f) = Aut_X(Y)$. The étale fundamental group $\pi_1(X,\bar{x})$ acts on the geometric fiber $Y_{\bar{x}}$, but is that …
- 315
2
votes
1
answer
780
views
pullback of a local system
I have a smooth projective $k$-scheme $X$ with a local system $F$ (locally constant sheaf) of finite dimensional $k$-vector spaces (on étale topology). My question is whether there exists a finite éta …
- 315