?? toric line bundle over 2d toric variety ....

??? assign to each 1d cone between 2d cones an element of the dual lattice .... ????? .....

??? 0d cone .... ?????? .....

??? "divisor" ??? ....

??? toric birational geometry" ....

?? "toric holomorphic structure on standard toric meromorphic line bundle" ... ??? ....

?? divisor here as something like "sense of flatness" ??? ....

??? "effective divisor" ... ???? .....

?? "picard stack" ... ???? ....

??? getting Z-graded commutative monoid from divisor here ... ??? ....

?? riemann-roch ... ???? ....

??? hmmm.... ??? keep on running into various situations where good analog in TAG (...) of AG ccncept of "ideal" (....) seems to be something like "face-flavored" version of ideal ... ????? though maybe not really so various after all ?? ... ?? tightly linked ??? ..... "blow-up" ... "ideal power filtration" .... "idea;/divisor class group" ..... ??????? .....

???? ideal class group as affine case of divisor class group ... toric .... ?? "face" ... ???? ....

??? kummer's chemistry analogy ?? ... ?? "face" .... ????? .....

???? principal toric divisor ...... ?????????? ......

??? lattice-dependence of toric divisor-class group .... ???? ......

?? "downward decorrelation" .... ???? ....

?? morphism vs isomorphism here ... ???? .....

?? invertible ideal .... invertible and/or non-invertible morphism between such ... toric and/or non-toric case ... ?? .... ??? principal ... effective .... ??? .... ???? .....