?? ag morphism from theory of z/2-torsor to theory of line object ... ??? .... ?? pull z/2-graded vsp back along z -> z/2 ?? .... ??? ok to be sloppy about fourier dual of z/2 here because pretty galois-stable ??? ... ??? ... ??? ....

?? wait, does this make any sense ?? .... would be surprising if it did, since i think that it was based on a misconception .... ?? and seems like should give paradox .... ??? ... ??

?? go other way by pushing forward along z -> z/2 .... ???? ....