File:Axiom TR4 (BBD).svg

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Axiom_TR4_(BBD).svg‎ (SVG file, nominally 260 × 270 pixels, file size: 52 KB)

[edit] LaTeX source

\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
\begin{equation*}
\xymatrix@=1em{
  & &   & &   & &    & & & & \\
  & &   & &   & &    & & & &\\
  & &   & &   & &    & & & &\\
  & &   & & Z' \ar[rrddd]^f \ar[rruuu]& &    & & & &\\
  & &   & &   & &    & & & &\\
  & &   & &   & &    & & & &\\
  & & Y \ar[rruuu]^j \ar[rrd]^v & &   & & Y' \ar[rrddd]^g \ar[rru] & & & &\\
  & &   & & Z \ar[rru] \ar[rrrrdd] & &    & & & &\\
  & &   & &   & &    & & & & \\
X \ar[rruuu]^u \ar[rrrruu]_{v \circ u} & &   & &   & &    & &
    X' \ar[rrddd] \ar[rrd]^i & & \\
  & & & & & & & & & & \\
  & & & & & & & & & & \\
  & & & & & & & & & &
}
\end{equation*}
\end{document}

[edit] Summary

Description

A depiction of axiom TR4 of a triangulated category. This variant is a presentation due to Beilinson, Bernstein, and Deligne.
Date

13 January 2009(2009-01-13)
Source

I created this work entirely by myself.
Author

Ryan Reich (talk)
Permission
(Reusing this image)		 See below.
Other versions File:Octahedral diagram deligne.svg, w:File:Axiom TR4 (BBD).svg

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

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Date/TimeThumbnailDimensionsUserComment
current05:35, 14 January 2009Thumbnail for version as of 05:35, 14 January 2009260×270 (52 KB)Ryan Reich (talk | contribs) (== LaTeX source == <pre> \documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{equation*} \xymatrix@=1em{ & & & & & & & & & & \\ & & & & & & & & & &\\ & & & & & & & & & &\\ &)

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