Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{tikzpicture}[x=1cm,y=1cm,font=\small,>=Stealth]
2 \draw[black!40,fill=black!16] (0.0,0.0) rectangle ++(1,.9);
3 \node at (0.5,0.45) {$1$};
4 \draw[black!40,fill=white] (1.2,0.0) rectangle ++(1,.9);
5 \node at (1.7,0.45) {$X$};
6 \draw[black!40,fill=white] (2.4,0.0) rectangle ++(1,.9);
7 \node at (2.9,0.45) {$X^{2}$};
8 \draw[black!40,fill=white] (3.5999999999999996,0.0) rectangle ++(1,.9);
9 \node at (4.1,0.45) {$X^{3}$};
10 \draw[black!40,fill=white] (0.0,1.1) rectangle ++(1,.9);
11 \node at (0.5,1.55) {$Y$};
12 \draw[black!40,fill=white] (1.2,1.1) rectangle ++(1,.9);
13 \node at (1.7,1.55) {$XY$};
14 \draw[black!40,fill=white] (2.4,1.1) rectangle ++(1,.9);
15 \node at (2.9,1.55) {$X^{2}Y$};
16 \draw[black!40,fill=white] (3.5999999999999996,1.1) rectangle ++(1,.9);
17 \node at (4.1,1.55) {$X^{3}Y$};
18 \node[anchor=west,font=\footnotesize] at (0,-.45) {augmentation: $1\mapsto1$; $X,Y\mapsto0$};
19 \end{tikzpicture}

Back to source controls

Back to Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion