File:Absolute and relative Frobenius.svg
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Original file (SVG file, nominally 138 × 139 pixels, file size: 21 KB)
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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:
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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:30, 24 February 2017 | | 138 × 139 (21 KB) | Dpirozhkov | User created page with UploadWizard |
File usage
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