?? "flat" N-fan ?? .... ?? nice pictorial interpretation ?? ??also interpetation in terms of accidental topos ?? .... ??? ....

?? fibers .... ????? .....

?? flat =?= "completely avoiding subdivision" ????? ...... ???? ......

??? "flat" vs "open" ???? .... ?????? .....

?? relationship between accidental topos and toric zariski locale here .... ???? ....

?? in special case of torus, for example ??? ...

??? actually .... ??? fair amount of confusion here .... ????? ......

?? don't forget case of torus morphism where (in lattice picture ...) cokernel has torsion ... ??? ....