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Apr 3, 2023 at 11:09 comment added TCiur @PiotrAchinger ok I see. Well, is there anything we can say about the higher cycles on an etale cover? For the picard group, there are some known results (Riemann-Hurwitz etc...).
Apr 2, 2023 at 14:57 comment added Piotr Achinger Any smooth variety locally admits an etale map to (an open of) $\mathbf{P}^n$.
Apr 2, 2023 at 14:19 history asked TCiur CC BY-SA 4.0