?? so ... gaussian integers .... hom its spec into .... ??? hom of spec(f_3) into spec(z[x]) ???? .... ???? hmmm, is that really what we mean ??? ..... ??? extreme non-flatness of f_3 here ??? .... ???? .... ??? nevertheless suggestive ??? .... ???? ...... ?? to what extent did we notice (?? ...) this before ?? .... ??? ... ??well, ... ?? we did think about spec(f_p) -> spec( .... ???? .... ?? actually, some confusion / level slip here ... ?? maybe sort of good though ... ??? ....

?? we thought about spec(f_p) -> spec(k^3)^spec(k[i]) .... ???? ..... ?? k=c ?? ... ??? .... ?? but maybe we didn't think (?? or at least, not in this context ?? ... ??? ...) about trying to interpret spec(k^3) here ("3" actually some sort of variable .... ?? ....) as itself being something like spec(k[x])^spec(f_3) ..... ????? ..... ???? any particularly bad level slip here ??? ... ??? ... ?? "if f_3 were flat, then ...." .... ??? ....

?? was going to return to idea of trying to "direct-sum" decompose stable hopf alg here ..... ??? .... ?? ideas about components that should (?? ...) turn up .... ??? ...