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hep-th2019
Modular Parametrization as Polyakov Path Integral: Cases with CM Elliptic Curves as Target Spaces
Satoshi Kondo, Taizan Watari
For an elliptic curve E over an abelian extension k/K with CM by K of Shimura type, the L-functions of its [k:K] Galois representations are Mellin transforms of Hecke theta functio…
math.NT2019
Drinfeld-Stuhler modules and the Hasse principle
Keisuke Arai, Satoshi Kondo, Mihran Papikian
We develop a theory of canonical isogeny characters of Drinfeld-Stuhler modules similar to the theory of canonical isogeny characters of abelian surfaces with quaternionic multipli…