todd....


??? consider the fourier duals (maybe later also "algebraic fourier duals" ????) of the additive groups of the finitely presented modules of a number ring ... ???... ???do these naturally have a conformal structure ????????..... (??? maybe later also structures associated with non-archimedean primes .... ????? ....)

??? maybe didn't quite say that right yet, or at least not in good generality with good terminology ... ??? ..... ???? imaginary quadratic case to begin with ????...

??? "algebraic fourier dual" of finitely presented abelian group as algebraic group .... ???? "spectrum of group algebra" ?????

?????? game here of .... ????? studying underlying (???...) real affine variety of projective complex variety ?????? ....... ?????? but ..... ????? relationship to examples like ... ??? real projective line vs real circle .... ????????.....

??? taking seriously module of number ring r obtained by modding out fractions(r) by submodule given by fractional ideal ?????....... ??? for example rationals mod integers, or gaussian rationals mod gaussian integers ???? ..... ?????..... ???fourier dual of such quotient module ???? ....... ???? .....