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Nov 16, 2023 at 22:58 comment added AT0 @user135743 Full implies faithful for smooth projective varieties. A fully faithful triangulated functor can be shown to be a FM transform with a unique kernel (for projective schemes and derived cats of perfect complexes)
Nov 16, 2023 at 20:31 history edited LSpice CC BY-SA 4.0
Name of "here"
Nov 16, 2023 at 20:30 comment added user135743 I'm not assuming full, only faithful! (and I don't understand why people in this derived sheaves business always assume both full and faithful, do you know why? )
Nov 16, 2023 at 20:28 history answered Sasha CC BY-SA 4.0