Friday, June 17, 2011

?? so far my attempt to explain to todd my attempt to connect "artin reciprocity" with "jugendtraum" ideas didn't get much further than this :

?? artin reciprocity has to do with fractional ideals in imaginary quadratic number field ...

?? jugendtraum has to do with torsion points on elliptic curve ....

?? and we're looking at this stuff in context where elliptic curve arises as complex numbers modulo algebraic integers in imaginary quadratic number field ...

?? ... so ... in this context, those fractional ideals and those torsion points are closely related to each other ... ????? ....

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