??"non-toric analog" of whole bunch of stuff arising out of recent discussion about toposes of filteredly cocontinuous set-valued functors ... ??starting with "accidental abelian category" as non-toric analog of "accidental topos" ?? ... (something about accidental topos as (thus? ...) not-so-accidental ... and so forth ....)
toric and non-toric "combined doctrine" ... and so forth ... ??struggling to connect with semi-famous grothendieck topologies ... and so forth ... ??...
??something about example where toric quasicoherent sheaves over "toric pre-stack" _don't_ form a to(r)pos ?? ... and so forth ... ???....
...todd's stuff about kock-zoeberlein and co-inverter, and so forth ...
??maybe ending (or something...) with non-toric analog of "topos for which comparison geometric morphism to topos of filteredly cocontinuous set-valued functors on classical model category _isn't_ an equivalence" ...??... and so forth ...
(??no obvious concept of "deliberate abelian category" ??.....)
???hmm, something about moduli stack of elliptic curves as toric stack?? ??and looking at its accidental topos ??? .... and so forth ... ??... ???hmmm, so what _about_ whether it's of form "filt(c,_set_)" (or something...), and what this might say about "stacky analog of fan" and so forth ???....
??something about concrete geometric aspect of "toric geometry" ... 2-(maybe also 3- ??...)place chain complexes... and so forth ... ??... ??maybe also something about taking "dimension" aspect of toric dimensional theory seriously ... and so forth ... ???....
???something about issue of colimit preservation by passage from dimensional theory to ag theory ... and so forth ... ???toric analog too?? ...
check other semi-recent notes ... ??...
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