?? continuing confusion about ... ?? ???correspondence between "flat presheaf" and "model" (...???...) ...(both toric and non-toric case ...) ... ???what case it works in ... what case it can/can't be generalized to ... ???"non-affine" ... ???diaconescu's theorem _can_ be (actually already is...) generalized in certain direction, but maybe that direction's not the really relevantone here???

???maybe the case where the correspondence works is the "affine" case, and it's basically just "yoneda" in that case??? ... ???and then doesn't generalize beyond that ??? .... ??? .... ???? or otherwise ... ???? ..... ??? ....