?? tendency for single-ray toric divisors to be severely non-ample .... ??? .... ?? vs non-toric case ?? ....

?? for each co-fan lattice vector, consider "minimal divisor for which it gives holomorphic section" ... ??? ... ??? is this simply "principal divisor" ??? ..... ??? ... certain confusions here ... ??? morphism vs isomorphism .... ???? .....

??? "wrt a jointly ample dimensional subcategory of line bundles, every quasicoherent sheaf has enough twisted sections" ... ??? by definition ??? ..... ????? ..... of ... ???? ....

??? "riemann-roch" and vague idea that .... ?? must be _something_ to compensate for severe non-ampleness ... ??? ....

??? detailed picture of 2-ray toric divisor groups ... with "principal" subgp indicated .... singular cases ....????

?? danger of thinking that i can prove that non-trivial affine toric divisor class groups should exist ... ??? by "lattice-dependence" .... ????? .....

?? in fact .... ???? confusion... ??? paradox .... ???

??? maybe .... ????? idea that .... toric "ideal" theory might be more motivated by progression to AG context than by remaining in TAG context .... ???? ..... ???bit about TAG-ish spectrum vs AG-ish spectrum of toric variety .... ???? dimensional theory case .... multi-dimensional theory case .... ????? ...... ??? todd's idea about number fields and integral group rings ...... ????? .... maybe pure toric ideal class group remains trivial while ordinary ideal class group of comm monoid ring may be interesting .... ?????? ...... ..... ?????? ...... ???? maybe idea of kummmer/chemistry/chess/checkers idea fitting with toric geometry makes perfect sense, but _not_ in "pure TAG / toric" context; rather in "toric transferred to AG" context .... ???? .... ?? this all (...) as very tied in with how this whole "toric divisor" stuff works out .... ???? .....

?? role of zero in toric birational geometry and ... ??? "assisted toric ideal class group" .... ???? .... ???? .....