Error on 1
{ ["2"] = exit,["3"] = 1,}
\documentclass{standalone}
\input{/home/zack/.pandoc/custom/preamble_common}
\begin{document}
\nopagecolor
\begin{tikzcd}
{\dcosetl{K^{\times}}{{\mathbb{A}}_K^{\times}}} && {G(K^{\operatorname{ab}}/K)} && 0
\arrow["{r_K}", two heads, from=1-1, to=1-3]
\arrow[from=1-3, to=1-5]
\end{tikzcd}
\end{document}
Error on 1
{ ["2"] = exit,["3"] = 1,}
\documentclass{standalone}
\input{/home/zack/.pandoc/custom/preamble_common}
\begin{document}
\nopagecolor
\begin{tikzcd}
{{\left[ {1,1,\cdots, 1, x_p, 1, \cdots } \right]}} & {\dcosetl{K^{\times}}{{\mathbb{A}}_K^{\times}}} && {G(K^{\operatorname{ab}}/K)} \\
\\
{x_p} & {K{ {}_{ \widehat{p} } }^{\times}} && {G_{K{ {}_{ \widehat{p} } }}^{\operatorname{ab}}}
\arrow[from=3-4, to=1-4]
\arrow["{r_K \text{ local Artin}}", from=3-2, to=3-4]
\arrow["{r_K \text{ global Artin}}", from=1-2, to=1-4]
\arrow[maps to, from=3-1, to=1-1]
\arrow[from=3-2, to=1-2]
\end{tikzcd}
\end{document}
Error on 1
{ ["2"] = exit,["3"] = 1,}
\documentclass{standalone}
\input{/home/zack/.pandoc/custom/preamble_common}
\begin{document}
\nopagecolor
\begin{tikzcd}
{\dcosetl{L^{\times}}{{\mathbb{A}}_K^{\times}}} && {G(L^{\operatorname{ab}}/L)} \\
\\
{\dcosetl{K^{\times}}{{\mathbb{A}}_K^{\times}}} && {G(K^{\operatorname{ab}}/K)}
\arrow[from=1-3, to=3-3]
\arrow["{r_K}", from=3-1, to=3-3]
\arrow["{r_L}", from=1-1, to=1-3]
\arrow["{\operatorname{Nm}_{L/K}}", from=1-1, to=3-1]
\arrow["{\text{Transfer}}"', color={rgb,255:red,92;green,92;blue,214}, curve={height=18pt}, dashed, from=3-3, to=1-3]
\arrow[color={rgb,255:red,92;green,92;blue,214}, curve={height=-24pt}, dashed, hook, from=3-1, to=1-1]
\end{tikzcd}
\end{document}