?? might be a good sign if naive application of "diagonal correspondence" gave wrong tensor product ... ???? ..... ??? ....
?? given quasicoherent sheaves x,y over p^1, combine to give one over [p^1]^2 ... ??? .... ?? then hom from skyscraper over diagonal?? .... ???? ??? make any sense in affine case ?? .... ???? ...... ??? more like ... ???? _tensoring_, rather than homming .... ???? .... ???? .....
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