Kähler PE.X

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{ g i j ϕ j 1 ϕ i : U i U j GL ( n , k ) } i , j I \left\{ g_{i j} \coloneqq \phi_j^{-1}\circ \phi_i \colon U_i \cap U_j \to GL(n,k) \right\}_{i,j \in I}

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