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  • In [27], Goncharov constructed a map of complexes relating the cohomology of arithmetic groups related to imaginary quadratics with discriminant -4 and -3 to a subcomplex of Bloch-Suslin called Euler complex using CM ellitptic curves. It is named such because it is related to Beilinson-Kato Euler system. Using Tate motive constructed via CM elliptic curves, we extend the construction of a map of complexes for imaginary quadratic fields that are Euclidean.
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