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May 11, 2021 at 15:49 comment added Mikhail Borovoi @LSpice: The group $G$ does not act on $Y_i$ because the fibres of $f_i$ are orbits of $G$.
May 11, 2021 at 15:42 comment added LSpice Do you want the $f_i$ in (2) to be $G$-equivariant?
May 11, 2021 at 14:15 history edited Mikhail Borovoi CC BY-SA 4.0
added 74 characters in body
May 11, 2021 at 13:46 history asked Mikhail Borovoi CC BY-SA 4.0