The example is taken verbatim from Milne's notes on amscd package:
Here is the MWE showing all the possible arrows in the amscd package:
\documentclass{amsart}
\usepackage{amscd}
\begin{document}
$\begin{CD}
A @<<< B @>>> C\\
@. @| @AAA\\
@. D @= E
\end{CD}$
\end{document}
The output:

In particular, the complete list of arrows is:
right
@>>>
left
@<<<
down
@VVV
up
@AAA
horizontal equals to
@=
vertical equals to
@|
empty arrow
@.
PS: You'd probably appreciate my comment under your question post if that is coming from someone with more experience, so please see Milne's Guide to Commutative Diagram Packages for some words about his personal experience.