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Feb 6, 2022 at 19:39 vote accept Sergey Guminov
Feb 4, 2022 at 20:08 answer added Libli timeline score: 4
Feb 4, 2022 at 19:48 comment added Sergey Guminov @Hacon That must be it! Didn't notice that we could permute $P_k$ by 'continuously' varying them. Could you please just write it down as answer?
Feb 4, 2022 at 19:19 comment added Hacon Presumably you are supposed to vary $P_1,...,P_{k+1}$ in $X^{k+1}\setminus \Delta$ where $\Delta$ is the big diagonal. Doing this you will permute the $P_i$'s. The dimension of $\sigma$ at $P_k$ should be semicontinuous hence constant on an open subset; but as we permute the $P_i$'s these values coincide.
Feb 4, 2022 at 16:41 history asked Sergey Guminov CC BY-SA 4.0