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File:Absolute and relative Frobenius.svg

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Original file (SVG file, nominally 138 × 139 pixels, file size: 21 KB)

LaTeX source

\usetikzlibrary{arrows}
\usetikzlibrary{shapes}
\usetikzlibrary{decorations.pathreplacing}

\begin{tikzpicture}[node distance=2cm, auto]
  \node (P) {$X^{(p)}$};
  \node (B) [right of=P] {$X$};
  \node (A) [below of=P] {$S$};
  \node (C) [below of=B] {$S$};
  \node (P1) [node distance=1.4cm, left of=P, above of=P] {$X$};
  \node (spacing) [node distance=1.9cm, above of=P] {\,};
  \draw[->] (P) to node {\scriptsize $\left(F_S\right)_X$} (B);
  \draw[->] (P) to node [swap] {$$} (A);
  \draw[->] (A) to node [swap] {\scriptsize $F_S$} (C);
  \draw[->] (B) to node {\scriptsize $\varphi$} (C);
  \draw[->, bend right] (P1) to node [swap] {\scriptsize $\varphi$} (A);
  \draw[->, bend left] (P1) to node [pos=0.7] {\scriptsize $F_X$} (B);
  \draw[->] (P1) to node {\scriptsize $F_{X/S}$} (P);
\end{tikzpicture}

Summary

Description
English: A commutative diagram clarifying the relation between various notions of Frobenius morphisms for schemes. Created with a LaTeX package tikz.
Date
Source Own work
Author Dpirozhkov

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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23 February 2017

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aa6c28f32ff6c8f8653ae78d00a09f8758a4f226

21,057 byte

139 pixel

138 pixel

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Date/TimeThumbnailDimensionsUserComment
current00:30, 24 February 2017Thumbnail for version as of 00:30, 24 February 2017138 × 139 (21 KB)DpirozhkovUser created page with UploadWizard

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