Tuesday, July 19, 2011

d=ax, e=ay, f=az, g=by, h=bz .... dg=ee, dh=ef, eh=fg ... ??with d,e,f,g,h all grade 1 ?? ...

?? stuff you can invert .... d,f,g,h,df,dg,fh,gh,dfgh ... ?? ....

?? so .... inverting dfgh, the degree 0 stuff is lattice generated by x = d/f and y = e/f ... ?? so we should maybe try expressing the other localizations as cocones inside of this .... ?? ....

?? so consider inverting just d, for example .... ?? then we seem to get cocone freely generated by e/d = y/x and f/d = 1/x; is that correct ?? ....

?? inverting just f ...

??maybe it would help to look first at inverting the pairs ... ?? ....

?? inverting df, we get one side of the d/f = x line ... ????....

?? inverting dg, we get one side of the d/g = dd/ee = xx/yy line ... ???.... ??hmmm, so is that really the x/y line ??? ....

?? inverting gh, we get one side of ... ???

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