?? 2-cat of small (?? ...) cats as sort of zeroth approximation to 2-cat of toposes ... ?? 2-cat of filteredly cocomplete small (?? ...) cats as sort of 1th approximation ??? ....

(?? 0,1 here as intended very informally, though ... ?? ...)

?? toric varieties as nice examples of stuff outside the zeroth approximation because to significant extent (?? though not completely ... ???) stay inside the first approximation .... ??? ....

?? object vs morphism ... ??? ...

?? "flat" ... ??? ....

?? affine ... ???? .... infinity-topos ??? .....

?? graded comm monoid ... toric line bundles .... ??? ....

?? "flat" .... ???? "something going the other way" ... ??? .... ?? string of adjunctions ... ??? ..... ?? geometric vs algebraic-geometric ?? ... ?? .... "fiber as function of codomain point" .... ???? ...

?? ...

?? non-toric analog for (?? way ??) above ... ??? ... ??? zeroth and first approximations to 2-cat of ab cats .... ??? ....