Fix compilation

This commit is contained in:
Stefan Kebekus 2025-04-24 11:06:01 +02:00
parent bd2fd06b37
commit d60b7d8de5

View File

@ -17,10 +17,6 @@
\usepackage{graphicx} \usepackage{graphicx}
\usepackage{tikz} \usepackage{tikz}
% von Jakob
\usepackage{caption}
\usepackage{subcaption}
% Font packages % Font packages
\usepackage{mathrsfs} \usepackage{mathrsfs}
@ -59,129 +55,135 @@
% %
% Input characters % Input characters
% %
\newunicodechar{α}{\ensuremath{α}}
\newunicodechar{β}{\ensuremath{β}}
\newunicodechar{χ}{\ensuremath{χ}}
\newunicodechar{δ}{\ensuremath{δ}}
\newunicodechar{ε}{\ensuremath{ε}}
\newunicodechar{Δ}{\ensuremath{Δ}}
\newunicodechar{η}{\ensuremath{η}}
\newunicodechar{γ}{\ensuremath{γ}}
\newunicodechar{Γ}{\ensuremath{Γ}}
\newunicodechar{ι}{\ensuremath{ι}}
\newunicodechar{κ}{\ensuremath{κ}}
\newunicodechar{λ}{\ensuremath{λ}}
\newunicodechar{Λ}{\ensuremath{Λ}}
\newunicodechar{ν}{\ensuremath{ν}}
\newunicodechar{μ}{\ensuremath{μ}}
\newunicodechar{ω}{\ensuremath{ω}}
\newunicodechar{Ω}{\ensuremath{Ω}}
\newunicodechar{π}{\ensuremath{π}}
\newunicodechar{Π}{\ensuremath{\Pi}}
\newunicodechar{φ}{\ensuremath{φ}}
\newunicodechar{Φ}{\ensuremath{Φ}}
\newunicodechar{ψ}{\ensuremath{ψ}}
\newunicodechar{Ψ}{\ensuremath{Ψ}}
\newunicodechar{ρ}{\ensuremath{ρ}}
\newunicodechar{σ}{\ensuremath{σ}}
\newunicodechar{Σ}{\ensuremath{Σ}}
\newunicodechar{τ}{\ensuremath{τ}}
\newunicodechar{θ}{\ensuremath{θ}}
\newunicodechar{Θ}{\ensuremath{Θ}}
\newunicodechar{ξ}{\ensuremath{ξ}}
\newunicodechar{Ξ}{\ensuremath{Ξ}}
\newunicodechar{ζ}{\ensuremath{ζ}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{א}{\ensuremath{\aleph}}
\newunicodechar{α}{\ensuremath{\alpha}}
\newunicodechar{β}{\ensuremath{\beta}}
\newunicodechar{χ}{\ensuremath{\chi}}
\newunicodechar{δ}{\ensuremath{\delta}}
\newunicodechar{ε}{\ensuremath{\varepsilon}}
\newunicodechar{Δ}{\ensuremath{\Delta}}
\newunicodechar{η}{\ensuremath{\eta}}
\newunicodechar{γ}{\ensuremath{\gamma}}
\newunicodechar{Γ}{\ensuremath{\Gamma}}
\newunicodechar{ι}{\ensuremath{\iota}}
\newunicodechar{κ}{\ensuremath{\kappa}}
\newunicodechar{λ}{\ensuremath{\lambda}}
\newunicodechar{Λ}{\ensuremath{\Lambda}}
\newunicodechar{ν}{\ensuremath{\nu}}
\newunicodechar{μ}{\ensuremath{\mu}}
\newunicodechar{ω}{\ensuremath{\omega}}
\newunicodechar{Ω}{\ensuremath{\Omega}}
\newunicodechar{π}{\ensuremath{\pi}}
\newunicodechar{Π}{\ensuremath{\Pi}}
\newunicodechar{φ}{\ensuremath{\phi}}
\newunicodechar{Φ}{\ensuremath{\Phi}}
\newunicodechar{ψ}{\ensuremath{\psi}}
\newunicodechar{Ψ}{\ensuremath{\Psi}}
\newunicodechar{ρ}{\ensuremath{\rho}}
\newunicodechar{σ}{\ensuremath{\sigma}}
\newunicodechar{Σ}{\ensuremath{\Sigma}}
\newunicodechar{τ}{\ensuremath{\tau}}
\newunicodechar{θ}{\ensuremath{\theta}}
\newunicodechar{Θ}{\ensuremath{\Theta}}
\newunicodechar{ξ}{\ensuremath{\xi}}
\newunicodechar{Ξ}{\ensuremath{\Xi}}
\newunicodechar{ζ}{\ensuremath{\zeta}}
\newunicodechar{}{\ensuremath{\ell}}
\newunicodechar{ï}{\"{\i}} \newunicodechar{ï}{\"{\i}}
\newunicodechar{𝔸}{\ensuremath{𝔸}} \newunicodechar{𝔸}{\ensuremath{\bA}}
\newunicodechar{𝔹}{\ensuremath{𝔹}} \newunicodechar{𝔹}{\ensuremath{\bB}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\bC}}
\newunicodechar{𝔻}{\ensuremath{𝔻}} \newunicodechar{𝔻}{\ensuremath{\bD}}
\newunicodechar{𝔼}{\ensuremath{𝔼}} \newunicodechar{𝔼}{\ensuremath{\bE}}
\newunicodechar{𝔽}{\ensuremath{𝔽}} \newunicodechar{𝔽}{\ensuremath{\bF}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝔾}{\ensuremath{\bG}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\bN}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\bP}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\bQ}}
\newunicodechar{𝕏}{\ensuremath{𝕏}} \newunicodechar{}{\ensuremath{\bR}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝕏}{\ensuremath{\bX}}
\newunicodechar{𝒜}{\ensuremath{𝒜}} \newunicodechar{}{\ensuremath{\bZ}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝒜}{\ensuremath{\sA}}
\newunicodechar{𝒞}{\ensuremath{𝒞}} \newunicodechar{}{\ensuremath{\sB}}
\newunicodechar{𝒟}{\ensuremath{𝒟}} \newunicodechar{𝒞}{\ensuremath{\sC}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝒟}{\ensuremath{\sD}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\sE}}
\newunicodechar{𝒢}{\ensuremath{𝒢}} \newunicodechar{}{\ensuremath{\sF}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝒢}{\ensuremath{\sG}}
\newunicodechar{𝒥}{\ensuremath{𝒥}} \newunicodechar{}{\ensuremath{\sH}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{𝒥}{\ensuremath{\sJ}}
\newunicodechar{𝒪}{\ensuremath{𝒪}} \newunicodechar{}{\ensuremath{\sL}}
\newunicodechar{𝒬}{\ensuremath{𝒬}} \newunicodechar{}{\ensuremath{\sM}}
\newunicodechar{𝒯}{\ensuremath{𝒯}} \newunicodechar{𝒪}{\ensuremath{\sO}}
\newunicodechar{𝒲}{\ensuremath{𝒲}} \newunicodechar{𝒬}{\ensuremath{\sQ}}
\newunicodechar{𝒮}{\ensuremath{\sS}}
\newunicodechar{𝒯}{\ensuremath{\sT}}
\newunicodechar{𝒲}{\ensuremath{\sW}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\partial}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\nabla}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\circlearrowleft}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\infty}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\oplus}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\otimes}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\bullet}}
\newunicodechar{Λ}{\ensuremath{Λ}} \newunicodechar{Λ}{\ensuremath{\wedge}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\into}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\to}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\mapsto}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\times}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\cup}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\cap}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\supsetneq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\supseteq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\supset}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\subsetneq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\subseteq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\subset}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\not \subset}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\geq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\neq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\gg}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\ll}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\leq}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\in}}
\newunicodechar{}{\ensuremath{\not }} \newunicodechar{}{\ensuremath{\not \in}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\setminus}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\circ}}
\newunicodechar{°}{\ensuremath{°}} \newunicodechar{°}{\ensuremath{^\circ}}
\newunicodechar{}{\ifmmode\mathellipsis\else\textellipsis\fi} \newunicodechar{}{\ifmmode\mathellipsis\else\textellipsis\fi}
\newunicodechar{·}{\ensuremath{·}} \newunicodechar{·}{\ensuremath{\cdot}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\cdots}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\emptyset}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\Rightarrow}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^0}}
\newunicodechar{¹}{\ensuremath{¹}} \newunicodechar{¹}{\ensuremath{^1}}
\newunicodechar{²}{\ensuremath{²}} \newunicodechar{²}{\ensuremath{^2}}
\newunicodechar{³}{\ensuremath{³}} \newunicodechar{³}{\ensuremath{^3}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^4}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^5}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^6}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^7}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^8}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^9}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{^i}}
\newunicodechar{}{\ensuremath{^+}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\lceil}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\rceil}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\lfloor}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\rfloor}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\cong}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\Leftrightarrow}}
\newunicodechar{}{\ensuremath{}} \newunicodechar{}{\ensuremath{\exists}}
\newunicodechar{±}{\ensuremath{±}} \newunicodechar{±}{\ensuremath{\pm}}
% %
@ -227,7 +229,7 @@
\DeclareMathOperator{\red}{red} \DeclareMathOperator{\red}{red}
\DeclareMathOperator{\reg}{reg} \DeclareMathOperator{\reg}{reg}
\DeclareMathOperator{\sat}{sat} \DeclareMathOperator{\sat}{sat}
\DeclareMathOperator{\sEnd}{\negthinspace \mathit{nd}} \DeclareMathOperator{\sEnd}{\sE\negthinspace \mathit{nd}}
\DeclareMathOperator{\sing}{sing} \DeclareMathOperator{\sing}{sing}
\DeclareMathOperator{\Spec}{Spec} \DeclareMathOperator{\Spec}{Spec}
\DeclareMathOperator{\Sym}{Sym} \DeclareMathOperator{\Sym}{Sym}
@ -237,30 +239,30 @@
\DeclareMathOperator{\Frob}{Frob} \DeclareMathOperator{\Frob}{Frob}
% Sheaves % Sheaves
\newcommand{𝒜}{\scr{A}} \newcommand{\sA}{\scr{A}}
\newcommand{}{\scr{B}} \newcommand{\sB}{\scr{B}}
\newcommand{𝒞}{\scr{C}} \newcommand{\sC}{\scr{C}}
\newcommand{𝒟}{\scr{D}} \newcommand{\sD}{\scr{D}}
\newcommand{}{\scr{E}} \newcommand{\sE}{\scr{E}}
\newcommand{}{\scr{F}} \newcommand{\sF}{\scr{F}}
\newcommand{𝒢}{\scr{G}} \newcommand{\sG}{\scr{G}}
\newcommand{}{\scr{H}} \newcommand{\sH}{\scr{H}}
\newcommand{\sHom}{\scr{H}\negthinspace om} \newcommand{\sHom}{\scr{H}\negthinspace om}
\newcommand{\sI}{\scr{I}} \newcommand{\sI}{\scr{I}}
\newcommand{𝒥}{\scr{J}} \newcommand{\sJ}{\scr{J}}
\newcommand{\sK}{\scr{K}} \newcommand{\sK}{\scr{K}}
\newcommand{}{\scr{L}} \newcommand{\sL}{\scr{L}}
\newcommand{}{\scr{M}} \newcommand{\sM}{\scr{M}}
\newcommand{\sN}{\scr{N}} \newcommand{\sN}{\scr{N}}
\newcommand{𝒪}{\scr{O}} \newcommand{\sO}{\scr{O}}
\newcommand{\sP}{\scr{P}} \newcommand{\sP}{\scr{P}}
\newcommand{𝒬}{\scr{Q}} \newcommand{\sQ}{\scr{Q}}
\newcommand{\sR}{\scr{R}} \newcommand{\sR}{\scr{R}}
\newcommand{𝒮}{\scr{S}} \newcommand{\sS}{\scr{S}}
\newcommand{𝒯}{\scr{T}} \newcommand{\sT}{\scr{T}}
\newcommand{\sU}{\scr{U}} \newcommand{\sU}{\scr{U}}
\newcommand{\sV}{\scr{V}} \newcommand{\sV}{\scr{V}}
\newcommand{𝒲}{\scr{W}} \newcommand{\sW}{\scr{W}}
\newcommand{\sX}{\scr{X}} \newcommand{\sX}{\scr{X}}
\newcommand{\sY}{\scr{Y}} \newcommand{\sY}{\scr{Y}}
\newcommand{\sZ}{\scr{Z}} \newcommand{\sZ}{\scr{Z}}
@ -275,32 +277,32 @@
\newcommand{\cV}{\mathcal V} \newcommand{\cV}{\mathcal V}
% Blackboard Bold Symbols % Blackboard Bold Symbols
\newcommand{𝔸}{\mathbb{A}} \newcommand{\bA}{\mathbb{A}}
\newcommand{𝔹}{\mathbb{B}} \newcommand{\bB}{\mathbb{B}}
\newcommand{}{\mathbb{C}} \newcommand{\bC}{\mathbb{C}}
\newcommand{𝔻}{\mathbb{D}} \newcommand{\bD}{\mathbb{D}}
\newcommand{𝔼}{\mathbb{E}} \newcommand{\bE}{\mathbb{E}}
\newcommand{𝔽}{\mathbb{F}} \newcommand{\bF}{\mathbb{F}}
\newcommand{𝔾}{\mathbb{G}} \newcommand{\bG}{\mathbb{G}}
\newcommand{\bH}{\mathbb{H}} \newcommand{\bH}{\mathbb{H}}
\newcommand{\bI}{\mathbb{I}} \newcommand{\bI}{\mathbb{I}}
\newcommand{\bJ}{\mathbb{J}} \newcommand{\bJ}{\mathbb{J}}
\newcommand{\bK}{\mathbb{K}} \newcommand{\bK}{\mathbb{K}}
\newcommand{\bL}{\mathbb{L}} \newcommand{\bL}{\mathbb{L}}
\newcommand{\bM}{\mathbb{M}} \newcommand{\bM}{\mathbb{M}}
\newcommand{}{\mathbb{N}} \newcommand{\bN}{\mathbb{N}}
\newcommand{\bO}{\mathbb{O}} \newcommand{\bO}{\mathbb{O}}
\newcommand{}{\mathbb{P}} \newcommand{\bP}{\mathbb{P}}
\newcommand{}{\mathbb{Q}} \newcommand{\bQ}{\mathbb{Q}}
\newcommand{}{\mathbb{R}} \newcommand{\bR}{\mathbb{R}}
\newcommand{\bS}{\mathbb{S}} \newcommand{\bS}{\mathbb{S}}
\newcommand{\bT}{\mathbb{T}} \newcommand{\bT}{\mathbb{T}}
\newcommand{\bU}{\mathbb{U}} \newcommand{\bU}{\mathbb{U}}
\newcommand{\bV}{\mathbb{V}} \newcommand{\bV}{\mathbb{V}}
\newcommand{\bW}{\mathbb{W}} \newcommand{\bW}{\mathbb{W}}
\newcommand{𝕏}{\mathbb{X}} \newcommand{\bX}{\mathbb{X}}
\newcommand{\bY}{\mathbb{Y}} \newcommand{\bY}{\mathbb{Y}}
\newcommand{}{\mathbb{Z}} \newcommand{\bZ}{\mathbb{Z}}
% Sans serif symbols % Sans serif symbols
\newcommand{\aB}{{\sf B}} \newcommand{\aB}{{\sf B}}
@ -343,15 +345,15 @@
\newtheorem{setting}[thm]{Setting} \newtheorem{setting}[thm]{Setting}
\newtheorem{warning}[thm]{Warning} \newtheorem{warning}[thm]{Warning}
% Numbering of equations. Number equation subordniate to theorems. % Numbering of equations. Number equation subordniate to theorems.
\numberwithin{equation}{thm} \numberwithin{equation}{thm}
% Style for enumerated lists. The following makes sure that enumerated lists are % Style for enumerated lists. The following makes sure that enumerated lists are
% numbered in the same way as equations are. % numbered in the same way as equations are.
\setlist[enumerate]{label=(\thethm.\arabic*), before={\setcounter{enumi}{\value{equation}}}, after={\setcounter{equation}{\value{enumi}}}} \setlist[enumerate]{label=(\thethm.\arabic*), before={\setcounter{enumi}{\value{equation}}}, after={\setcounter{equation}{\value{enumi}}}}
% Shorthand notations % Shorthand notations
\newcommand{}{} \newcommand{\into}{\hookrightarrow}
\newcommand{\onto}{\twoheadrightarrow} \newcommand{\onto}{\twoheadrightarrow}
\newcommand{\wtilde}{\widetilde} \newcommand{\wtilde}{\widetilde}
\newcommand{\what}{\widehat} \newcommand{\what}{\widehat}
@ -374,4 +376,4 @@
\newcommand\CounterStep{\addtocounter{thm}{1}\setcounter{equation}{0}} \newcommand\CounterStep{\addtocounter{thm}{1}\setcounter{equation}{0}}
% factor - quotient groups % factor - quotient groups
\newcommand{\factor}[2]{\left. \raise 2pt\hbox{$#1$} \right/\hskip -2pt\raise -2pt\hbox{$#2$}} \newcommand{\factor}[2]{\left. \raise 2pt\hbox{$#1$} \right/\hskip -2pt\raise -2pt\hbox{$#2$}}