Last active
November 17, 2018 18:13
-
-
Save takumim/fcd6344ba2cd50043ede94450ffc7e2e to your computer and use it in GitHub Desktop.
Diagrams for https://math.stackexchange.com/a/2374488/116766
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
\documentclass[12pt]{article} | |
\usepackage{stix} | |
\usepackage{amsmath} | |
\usepackage{tikz-cd} | |
\tikzcdset{arrow style=math font} | |
\begin{document} | |
\begin{tikzcd}[row sep=small] | |
0 \rar & C' \arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}} | |
\rar & C_1 \arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}} | |
\rar & C'' | |
\arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}}\rar & 0\\[0.625em] | |
0 \rar & \bigoplus_i D_i' \rar\dar[phantom]{\oplus} & \bigoplus_i D_i' \rar\dar[phantom]{\oplus} & 0 \dar[phantom]{\oplus}\\ | |
& 0 \rar\dar[phantom]{\oplus} & \bigoplus_i D_i'' \rar\dar[phantom]{\oplus} & \bigoplus_i D_i'' \rar\dar[phantom]{\oplus} & 0\\ | |
0 \rar & \bigoplus_j D_j' \rar & \bigoplus_j D_j \rar & \bigoplus_j D_j'' \rar & 0\\[0.5em] | |
0 \rar & C' \arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}} | |
\rar & C_2 \arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}} | |
\rar & C'' | |
\arrow[-, double equal sign distance,start anchor={[yshift=2pt]}]{d}[description,pos=0.75]{\overbrace{\hspace{3em}}}\rar & 0\\[0.625em] | |
0 \rar & \bigoplus_i D_i' \rar\dar[phantom]{\oplus} & \bigoplus_i D_i \rar\dar[phantom]{\oplus} & \bigoplus_i D_i'' \rar\dar[phantom]{\oplus} & 0\\ | |
& 0 \rar\dar[phantom]{\oplus} & \bigoplus_i D_j'' \rar\dar[phantom]{\oplus} & \bigoplus_i D_j'' \rar\dar[phantom]{\oplus} & 0\\ | |
0 \rar & \bigoplus_j D_j' \rar & \bigoplus_j D_j' \rar & 0 | |
\end{tikzcd} | |
\end{document} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
\documentclass[12pt]{article} | |
\usepackage{stix} | |
\usepackage{amsmath} | |
\usepackage{tikz-cd} | |
\tikzcdset{arrow style=math font} | |
\begin{document} | |
\begin{tikzcd}[column sep=-2ex,row sep=large] | |
& \Gamma\arrow[bend right]{ddl}[sloped,swap]{\sim}\arrow[bend left]{ddr}[sloped]{\sim}\dar[hook]\\ | |
& \mathscr{F}\rvert_U \oplus \mathscr{G}\rvert_U\arrow{dl}\arrow{dr}\\ | |
\mathscr{F}\rvert_U \arrow{rr}{\sim} & & \mathscr{G}\rvert_U | |
\end{tikzcd} | |
\end{document} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
\documentclass[12pt]{article} | |
\usepackage{stix} | |
\usepackage{amsmath} | |
\usepackage{tikz-cd} | |
\tikzcdset{arrow style=math font} | |
\begin{document} | |
\begin{tikzcd}[column sep=0,row sep=large] | |
& \widetilde{\Gamma}\arrow[bend right]{ddl}[swap]{f}\arrow[bend left]{ddr}{g}\dar[hook]\\ | |
& \mathscr{F} \oplus \mathscr{G}\arrow{dl}\arrow{dr}\\ | |
\mathscr{F} & & \mathscr{G} | |
\end{tikzcd} | |
\end{document} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment