?? so consider a 2d affine toric variety ... ??? .... and consider the (non-toric ... ???....) subvariety given by .... "omitting the torus" .... ???? so this is ... ?? modding out by the "non-face" ideal .... ??? and is independent of the original variety... in certain senses ... ??? as TAG theory?? ... ??? ...

??? still built out of toruses, sort of .... ???? .....

??? so is there some weird tensor product of commutative monoids ... ?? something like "pointed union of toric varieties" ..... ?????? ..... ??? also non-toric ... ????? ..... ??? ....