2 problems

Let $k$ be a totally real number field of degree $d$, let $K/k$ be an abelian CM extension with complex conjugation $c$, let $S$ contain the archimedean places, the places ramified…

Darmon-point conjectures. (1) $P_\varphi^\beta\in A_1(L_\varphi^\beta)$. (2) For every such $\chi$, the point $P_\chi$ is nonzero if and only if $L'(f_0/K,\chi,1)\ne0$. (3) For eve…