??so what about something about ... ???"mutliplication toric variety of a toric variety" ??? ... and so forth ... ????.... ??whether it lives nicely at "toric stack" / "tag theory" level ... and so forth ... ???

???something about ... moduli stack of gl(1)-torsors ... "tensor product" (or whatever you call it) of such things ... ??does this qualify as a "toric product", or something ?? ... well, i think that we ought to be able to get some idea about this by thinking about the case of projective n-space, for example ... ???

??hmm, something about ... ???"toric model" of toric dimensional theory as model where _all_ quantities become invertible ... ??and toric model acting on arbitrary model in hopefully obvious "dimension-wise" way ... ????and so forth ...

????what about something about ... ???thinking of a toric model of a toric dimensional theory as a sort of "renormalization process" ??? or something ....

??hmm, to what extent does that actually make sense ????.....

??well, let's at least pretend for a moment that it makes sense ... ??but it still somewhat bugs me the way that ... ??each quantity is getting its own renormalization factor, as opposed to each dimension .... ???or something ??? ....

??hmmm, but maybe this will make sense if we think about it ... ??something about ... orbit stack wrt the torus action ... and so forth .... ????.....

??well, i'm still having some confusion between dimensions and quantities here ... ???and maybe other stuff too ... "units" and so forth ... ???....

hmmm, i'm suspecting now that maybe ... ??that "double interpretation" stuff maybe did involve some sort of "dimension/quantity confusion" ??? ... ???or something?? ... ??this really seems like it must be correct ?? ... ??something about ... given a homomorphism from a commutative monoid to an abelian group, having the domain also be a group as setting up potential for extra level slip ... ??and so forth ??? ??so then what _about_ "action of toric model on arbitrary model" idea in case of "generalized toric variety" or something ?? ... ...that bit involving 3-place chain complex ... and so forth .... ????....



???what about something about situations where people say stuff like "this is measured in these units and that is measured in those units" even though this and that are quantities living in the same dimension??? ... and so forth .... ????....

???what _about_ something about ... ??? "homomorphism" _constraint_ on these "renormalization processes" ; ??what's the meaning of that ???....

???so what about ... ???extent to which idea of "action of toric model on arbitrary model" extends from toric dimensional doctrine to tag doctrine ??? .... ????and so forth ???? .... ....hmmmm ..... ????something about bit about "keep only those models where for every dimension a scale is set" ... that is, "non-stacky models" or something ... ???something about in any toric model, any "rationally occupied" (??or something) dimension has a scale set for it ... ??and so forth ... ??? ???but in any case this still seems very ad hoc ... ???....

???what about something about ... ???possibility that in tag context (or something ...), concept of "toric model" becomes more clearly not really a model but more of a "process" of some sort ???? ????or something ?? ... ???hmmm, so what _about_ this ???... ???something about ... ???assign to each morphism an invertible number ... ???and so forth ??? ... ??or something ??? .... ????_does_ this make any sense??? ... not really sure ... ???something about "determinant" or something ????? ....

??maybe that (...) isn't quite the right idea ... ???... ??something about how a matrix gets changed when its entries get changed ... ???or something ... ????...
??what _about_ something about "gauge transformation" here??? ... something about "conjugating by diagonal matrix" ... ??but something about dimension/quantity confusion here ... ??? ... and so forth .... ????....

??so what _about_ "toric structure on quasicoherent sheaf" ???.... ??and so forth ... ????....

??so what _about_ trying to understand concept of "toric model" in way intrinsic to tag theory of toric quasicoherent sheaves over a projective toric variety??? ... and so forth ...

??so what about something about ... ??a toric structure on a variety (or something ...) as... ???a certain sort of "system of renormaliztion processes" ???and so forth ... ????....

???what about something about whether the (...) torus of a toric variety is more like a group or more like a torsor ... ??or something ... ??in its most obvious concrete manifestation, or something ??... ...and so forth ...

??some confusion here?? ... ???morphism of 2-place chain complexes ... ???and so forth ??? ... ???hmmm, something about ... ??ideal class group and so forth ??? ... ????? .... ???something about ... "weak morphism" here ... ??what does that correspond to in 2-place chain complex context ??? ... ???something about derived category or something??? .... but exactly how ??? ... and so forth ... ??...

??argument for torus being group: ???something about zero map between chain complexes?? ...??or something ??...

??argument for torus being torsor: ???....

??hmmm, in/appropriateness of terminology "toric model" (or something...) as hanging in balance here ... ??...