?? so .... consider hartog toric variety ... say for example the "checkerboard" one ... and consider .... non-trivial line bundle over it ... toric dimensional theory coming from integer tensor powers ....

??? k[a,b,c:0; d,e:1; f:2]/ac-bb,af-dd,cf-ee ..... ????

?? no wait ... ??? need generators in negative grades too ??? ... ???? .....