?? so ... ?? seem to be getting ... ?? complex point of toric orbit of toric variety corresponding to cone c in fan f as .... given by "magnitude coordinate data" (coset of linear span of c in vsp(f)) and "angle coordinate data" (coset of linear span of [c and lattice(f)] in vsp(f)).... .... then such a complex point as real if angle coordinate data is "half of zero" ???? ......

??? trying to apply this prescription out of bounds ... "fan" that's not quite a fan .... ????? ...... ??? any interesting (?? "TAGgish" ?? ...) generalization of toric variety here ??? .....

??? in turn this (...) seems to say .... ??? co-dimension j cone in fan corresponds to toric orbit shaped like j-dim torus ... ??? maybe somewhat obvious ??? in retrospect ??? at least to extent to which it's true ... ???.... ???true over what commutative monoids ????? ....

??j-dim torus in question arising from ... ??? dual lattice of lattice obtained by ... ?? fan lattice modulo span of part in cone ... ???.....

??? any artin-wraith glueing going on here ??? ..... localization as AG/TAG analog ??? ... ??? "ringed (or monoided) artin-wraith glueing" ... ????? ??? "fringe functor" ???? ... .... ???? .... "attahcing map" ... "mapping cone" ... ???? ....

"attaching map" ... ??? "cw-complex" ... ????? ......

?? line bundles and other bundles over toruses ...?? ....