File:Axiom TR4 (BBD).svg

Original file(SVG file, nominally 260 × 270 pixels, file size: 52 KB)

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}

Summary

Description A depiction of axiom TR4 of a triangulated category. This variant is a presentation due to Beilinson, Bernstein, and Deligne.
Date
Source Own work (Original text: I created this work entirely by myself.)
Author Ryan Reich
Other versions File:Octahedral diagram deligne.svg, File:Axiom TR4 (BBD).svg
SVG development
InfoField
 
The SVG code is valid.
 
This diagram was created with an unknown SVG tool.

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

13 January 2009

image/svg+xml

dab3ddb17f728ba0b06ae6afd923237089322bf6

53,688 byte

270 pixel

260 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current05:35, 14 January 2009Thumbnail for version as of 05:35, 14 January 2009260 × 270 (52 KB)Ryan Reich== LaTeX source == <pre> \documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{equation*} \xymatrix@=1em{ & & & & & & & & & & \\ & & & & & & & & & &\\ & & & & & & & & & &\\ &
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file: