?? so ... ?? consider prototypical toric variety x = "the torus" ... ?? and consider all tag morphisms and all topos-geometric morphisms between x and x^2 .... ???? more particularly from x^2 to x ??? ..... well, i guess we should look fairly broadly ... from x to x^2 as well, and considering everything in each adjoint string ... ?? and see whether / where "tensor product of toric quasicoherent sheaves" is showing up here ... ??? ....

?? also ... ??? trying to straighten out lack of / correlation between "flatness" and affineness and so forth here .... ??? ....

?? tag morphisms and topos-geometric morphisms between affine toric varieties / commutative monoids as almost tthe same thing, except "backwards" to each other ??? ..... ?? with the "localizations" as the only reconciliation ... ????? ....

?? topos-geometric morphism from lattice^2 to lattice, simultaneously with tag-geometric morphism
from torus to torus^2 ??? ...... ???? ..... ???? fourier duality ??? ...... ????? ...... ????????? ...... ???? .....