From d60b7d8de5a6db21421613c6392609aa8ce9daec Mon Sep 17 00:00:00 2001 From: Stefan Kebekus Date: Thu, 24 Apr 2025 11:06:01 +0200 Subject: [PATCH] Fix compilation --- stdPreamble.tex | 304 ++++++++++++++++++++++++------------------------ 1 file changed, 153 insertions(+), 151 deletions(-) diff --git a/stdPreamble.tex b/stdPreamble.tex index a83517f..ad4b8cf 100644 --- a/stdPreamble.tex +++ b/stdPreamble.tex @@ -17,10 +17,6 @@ \usepackage{graphicx} \usepackage{tikz} -% von Jakob -\usepackage{caption} -\usepackage{subcaption} - % Font packages \usepackage{mathrsfs} @@ -59,129 +55,135 @@ % % 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{ℓ}{\ensuremath{ℓ}} +\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{ℓ}{\ensuremath{\ell}} \newunicodechar{ï}{\"{\i}} -\newunicodechar{𝔸}{\ensuremath{𝔸}} -\newunicodechar{𝔹}{\ensuremath{𝔹}} -\newunicodechar{ℂ}{\ensuremath{ℂ}} -\newunicodechar{𝔻}{\ensuremath{𝔻}} -\newunicodechar{𝔼}{\ensuremath{𝔼}} -\newunicodechar{𝔽}{\ensuremath{𝔽}} -\newunicodechar{ℕ}{\ensuremath{ℕ}} -\newunicodechar{ℙ}{\ensuremath{ℙ}} -\newunicodechar{ℚ}{\ensuremath{ℚ}} -\newunicodechar{ℝ}{\ensuremath{ℝ}} -\newunicodechar{𝕏}{\ensuremath{𝕏}} -\newunicodechar{ℤ}{\ensuremath{ℤ}} -\newunicodechar{𝒜}{\ensuremath{𝒜}} -\newunicodechar{ℬ}{\ensuremath{ℬ}} -\newunicodechar{𝒞}{\ensuremath{𝒞}} -\newunicodechar{𝒟}{\ensuremath{𝒟}} -\newunicodechar{ℰ}{\ensuremath{ℰ}} -\newunicodechar{ℱ}{\ensuremath{ℱ}} -\newunicodechar{𝒢}{\ensuremath{𝒢}} -\newunicodechar{ℋ}{\ensuremath{ℋ}} -\newunicodechar{𝒥}{\ensuremath{𝒥}} -\newunicodechar{ℒ}{\ensuremath{ℒ}} -\newunicodechar{𝒪}{\ensuremath{𝒪}} -\newunicodechar{𝒬}{\ensuremath{𝒬}} -\newunicodechar{𝒯}{\ensuremath{𝒯}} -\newunicodechar{𝒲}{\ensuremath{𝒲}} +\newunicodechar{𝔸}{\ensuremath{\bA}} +\newunicodechar{𝔹}{\ensuremath{\bB}} +\newunicodechar{ℂ}{\ensuremath{\bC}} +\newunicodechar{𝔻}{\ensuremath{\bD}} +\newunicodechar{𝔼}{\ensuremath{\bE}} +\newunicodechar{𝔽}{\ensuremath{\bF}} +\newunicodechar{𝔾}{\ensuremath{\bG}} +\newunicodechar{ℕ}{\ensuremath{\bN}} +\newunicodechar{ℙ}{\ensuremath{\bP}} +\newunicodechar{ℚ}{\ensuremath{\bQ}} +\newunicodechar{ℝ}{\ensuremath{\bR}} +\newunicodechar{𝕏}{\ensuremath{\bX}} +\newunicodechar{ℤ}{\ensuremath{\bZ}} +\newunicodechar{𝒜}{\ensuremath{\sA}} +\newunicodechar{ℬ}{\ensuremath{\sB}} +\newunicodechar{𝒞}{\ensuremath{\sC}} +\newunicodechar{𝒟}{\ensuremath{\sD}} +\newunicodechar{ℰ}{\ensuremath{\sE}} +\newunicodechar{ℱ}{\ensuremath{\sF}} +\newunicodechar{𝒢}{\ensuremath{\sG}} +\newunicodechar{ℋ}{\ensuremath{\sH}} +\newunicodechar{𝒥}{\ensuremath{\sJ}} +\newunicodechar{ℒ}{\ensuremath{\sL}} +\newunicodechar{ℳ}{\ensuremath{\sM}} +\newunicodechar{𝒪}{\ensuremath{\sO}} +\newunicodechar{𝒬}{\ensuremath{\sQ}} +\newunicodechar{𝒮}{\ensuremath{\sS}} +\newunicodechar{𝒯}{\ensuremath{\sT}} +\newunicodechar{𝒲}{\ensuremath{\sW}} -\newunicodechar{∂}{\ensuremath{∂}} -\newunicodechar{∇}{\ensuremath{∇}} +\newunicodechar{∂}{\ensuremath{\partial}} +\newunicodechar{∇}{\ensuremath{\nabla}} -\newunicodechar{↺}{\ensuremath{↺}} -\newunicodechar{∞}{\ensuremath{∞}} -\newunicodechar{⊕}{\ensuremath{⊕}} -\newunicodechar{⊗}{\ensuremath{⊗}} -\newunicodechar{•}{\ensuremath{•}} -\newunicodechar{Λ}{\ensuremath{Λ}} -\newunicodechar{↪}{\ensuremath{↪}} -\newunicodechar{→}{\ensuremath{→}} -\newunicodechar{↦}{\ensuremath{↦}} -\newunicodechar{⨯}{\ensuremath{⨯}} -\newunicodechar{∪}{\ensuremath{∪}} -\newunicodechar{∩}{\ensuremath{∩}} -\newunicodechar{⊋}{\ensuremath{⊋}} -\newunicodechar{⊇}{\ensuremath{⊇}} -\newunicodechar{⊃}{\ensuremath{⊃}} -\newunicodechar{⊊}{\ensuremath{⊊}} -\newunicodechar{⊆}{\ensuremath{⊆}} -\newunicodechar{⊂}{\ensuremath{⊂}} -\newunicodechar{⊄}{\ensuremath{⊄}} -\newunicodechar{≥}{\ensuremath{≥}} -\newunicodechar{≠}{\ensuremath{≠}} -\newunicodechar{≫}{\ensuremath{≫}} -\newunicodechar{≪}{\ensuremath{≪}} +\newunicodechar{↺}{\ensuremath{\circlearrowleft}} +\newunicodechar{∞}{\ensuremath{\infty}} +\newunicodechar{⊕}{\ensuremath{\oplus}} +\newunicodechar{⊗}{\ensuremath{\otimes}} +\newunicodechar{•}{\ensuremath{\bullet}} +\newunicodechar{Λ}{\ensuremath{\wedge}} +\newunicodechar{↪}{\ensuremath{\into}} +\newunicodechar{→}{\ensuremath{\to}} +\newunicodechar{↦}{\ensuremath{\mapsto}} +\newunicodechar{⨯}{\ensuremath{\times}} +\newunicodechar{∪}{\ensuremath{\cup}} +\newunicodechar{∩}{\ensuremath{\cap}} +\newunicodechar{⊋}{\ensuremath{\supsetneq}} +\newunicodechar{⊇}{\ensuremath{\supseteq}} +\newunicodechar{⊃}{\ensuremath{\supset}} +\newunicodechar{⊊}{\ensuremath{\subsetneq}} +\newunicodechar{⊆}{\ensuremath{\subseteq}} +\newunicodechar{⊂}{\ensuremath{\subset}} +\newunicodechar{⊄}{\ensuremath{\not \subset}} +\newunicodechar{≥}{\ensuremath{\geq}} +\newunicodechar{≠}{\ensuremath{\neq}} +\newunicodechar{≫}{\ensuremath{\gg}} +\newunicodechar{≪}{\ensuremath{\ll}} -\newunicodechar{≤}{\ensuremath{≤}} -\newunicodechar{∈}{\ensuremath{∈}} -\newunicodechar{∉}{\ensuremath{\not ∈}} -\newunicodechar{∖}{\ensuremath{∖}} -\newunicodechar{◦}{\ensuremath{◦}} -\newunicodechar{°}{\ensuremath{°}} +\newunicodechar{≤}{\ensuremath{\leq}} +\newunicodechar{∈}{\ensuremath{\in}} +\newunicodechar{∉}{\ensuremath{\not \in}} +\newunicodechar{∖}{\ensuremath{\setminus}} +\newunicodechar{◦}{\ensuremath{\circ}} +\newunicodechar{°}{\ensuremath{^\circ}} \newunicodechar{…}{\ifmmode\mathellipsis\else\textellipsis\fi} -\newunicodechar{·}{\ensuremath{·}} -\newunicodechar{⋯}{\ensuremath{⋯}} -\newunicodechar{∅}{\ensuremath{∅}} -\newunicodechar{⇒}{\ensuremath{⇒}} +\newunicodechar{·}{\ensuremath{\cdot}} +\newunicodechar{⋯}{\ensuremath{\cdots}} +\newunicodechar{∅}{\ensuremath{\emptyset}} +\newunicodechar{⇒}{\ensuremath{\Rightarrow}} -\newunicodechar{⁰}{\ensuremath{⁰}} -\newunicodechar{¹}{\ensuremath{¹}} -\newunicodechar{²}{\ensuremath{²}} -\newunicodechar{³}{\ensuremath{³}} -\newunicodechar{⁴}{\ensuremath{⁴}} -\newunicodechar{⁵}{\ensuremath{⁵}} -\newunicodechar{⁶}{\ensuremath{⁶}} -\newunicodechar{⁷}{\ensuremath{⁷}} -\newunicodechar{⁸}{\ensuremath{⁸}} -\newunicodechar{⁹}{\ensuremath{⁹}} -\newunicodechar{ⁱ}{\ensuremath{ⁱ}} +\newunicodechar{⁰}{\ensuremath{^0}} +\newunicodechar{¹}{\ensuremath{^1}} +\newunicodechar{²}{\ensuremath{^2}} +\newunicodechar{³}{\ensuremath{^3}} +\newunicodechar{⁴}{\ensuremath{^4}} +\newunicodechar{⁵}{\ensuremath{^5}} +\newunicodechar{⁶}{\ensuremath{^6}} +\newunicodechar{⁷}{\ensuremath{^7}} +\newunicodechar{⁸}{\ensuremath{^8}} +\newunicodechar{⁹}{\ensuremath{^9}} +\newunicodechar{ⁱ}{\ensuremath{^i}} +\newunicodechar{⁺}{\ensuremath{^+}} -\newunicodechar{⌈}{\ensuremath{⌈}} -\newunicodechar{⌉}{\ensuremath{⌉}} -\newunicodechar{⌊}{\ensuremath{⌊}} -\newunicodechar{⌋}{\ensuremath{⌋}} +\newunicodechar{⌈}{\ensuremath{\lceil}} +\newunicodechar{⌉}{\ensuremath{\rceil}} +\newunicodechar{⌊}{\ensuremath{\lfloor}} +\newunicodechar{⌋}{\ensuremath{\rfloor}} -\newunicodechar{≅}{\ensuremath{≅}} -\newunicodechar{⇔}{\ensuremath{⇔}} -\newunicodechar{∃}{\ensuremath{∃}} -\newunicodechar{±}{\ensuremath{±}} +\newunicodechar{≅}{\ensuremath{\cong}} +\newunicodechar{⇔}{\ensuremath{\Leftrightarrow}} +\newunicodechar{∃}{\ensuremath{\exists}} +\newunicodechar{±}{\ensuremath{\pm}} % @@ -227,7 +229,7 @@ \DeclareMathOperator{\red}{red} \DeclareMathOperator{\reg}{reg} \DeclareMathOperator{\sat}{sat} -\DeclareMathOperator{\sEnd}{ℰ\negthinspace \mathit{nd}} +\DeclareMathOperator{\sEnd}{\sE\negthinspace \mathit{nd}} \DeclareMathOperator{\sing}{sing} \DeclareMathOperator{\Spec}{Spec} \DeclareMathOperator{\Sym}{Sym} @@ -237,30 +239,30 @@ \DeclareMathOperator{\Frob}{Frob} % Sheaves -\newcommand{𝒜}{\scr{A}} -\newcommand{ℬ}{\scr{B}} -\newcommand{𝒞}{\scr{C}} -\newcommand{𝒟}{\scr{D}} -\newcommand{ℰ}{\scr{E}} -\newcommand{ℱ}{\scr{F}} -\newcommand{𝒢}{\scr{G}} -\newcommand{ℋ}{\scr{H}} +\newcommand{\sA}{\scr{A}} +\newcommand{\sB}{\scr{B}} +\newcommand{\sC}{\scr{C}} +\newcommand{\sD}{\scr{D}} +\newcommand{\sE}{\scr{E}} +\newcommand{\sF}{\scr{F}} +\newcommand{\sG}{\scr{G}} +\newcommand{\sH}{\scr{H}} \newcommand{\sHom}{\scr{H}\negthinspace om} \newcommand{\sI}{\scr{I}} -\newcommand{𝒥}{\scr{J}} +\newcommand{\sJ}{\scr{J}} \newcommand{\sK}{\scr{K}} -\newcommand{ℒ}{\scr{L}} -\newcommand{ℳ}{\scr{M}} +\newcommand{\sL}{\scr{L}} +\newcommand{\sM}{\scr{M}} \newcommand{\sN}{\scr{N}} -\newcommand{𝒪}{\scr{O}} +\newcommand{\sO}{\scr{O}} \newcommand{\sP}{\scr{P}} -\newcommand{𝒬}{\scr{Q}} +\newcommand{\sQ}{\scr{Q}} \newcommand{\sR}{\scr{R}} -\newcommand{𝒮}{\scr{S}} -\newcommand{𝒯}{\scr{T}} +\newcommand{\sS}{\scr{S}} +\newcommand{\sT}{\scr{T}} \newcommand{\sU}{\scr{U}} \newcommand{\sV}{\scr{V}} -\newcommand{𝒲}{\scr{W}} +\newcommand{\sW}{\scr{W}} \newcommand{\sX}{\scr{X}} \newcommand{\sY}{\scr{Y}} \newcommand{\sZ}{\scr{Z}} @@ -275,32 +277,32 @@ \newcommand{\cV}{\mathcal V} % Blackboard Bold Symbols -\newcommand{𝔸}{\mathbb{A}} -\newcommand{𝔹}{\mathbb{B}} -\newcommand{ℂ}{\mathbb{C}} -\newcommand{𝔻}{\mathbb{D}} -\newcommand{𝔼}{\mathbb{E}} -\newcommand{𝔽}{\mathbb{F}} -\newcommand{𝔾}{\mathbb{G}} +\newcommand{\bA}{\mathbb{A}} +\newcommand{\bB}{\mathbb{B}} +\newcommand{\bC}{\mathbb{C}} +\newcommand{\bD}{\mathbb{D}} +\newcommand{\bE}{\mathbb{E}} +\newcommand{\bF}{\mathbb{F}} +\newcommand{\bG}{\mathbb{G}} \newcommand{\bH}{\mathbb{H}} \newcommand{\bI}{\mathbb{I}} \newcommand{\bJ}{\mathbb{J}} \newcommand{\bK}{\mathbb{K}} \newcommand{\bL}{\mathbb{L}} \newcommand{\bM}{\mathbb{M}} -\newcommand{ℕ}{\mathbb{N}} +\newcommand{\bN}{\mathbb{N}} \newcommand{\bO}{\mathbb{O}} -\newcommand{ℙ}{\mathbb{P}} -\newcommand{ℚ}{\mathbb{Q}} -\newcommand{ℝ}{\mathbb{R}} +\newcommand{\bP}{\mathbb{P}} +\newcommand{\bQ}{\mathbb{Q}} +\newcommand{\bR}{\mathbb{R}} \newcommand{\bS}{\mathbb{S}} \newcommand{\bT}{\mathbb{T}} \newcommand{\bU}{\mathbb{U}} \newcommand{\bV}{\mathbb{V}} \newcommand{\bW}{\mathbb{W}} -\newcommand{𝕏}{\mathbb{X}} +\newcommand{\bX}{\mathbb{X}} \newcommand{\bY}{\mathbb{Y}} -\newcommand{ℤ}{\mathbb{Z}} +\newcommand{\bZ}{\mathbb{Z}} % Sans serif symbols \newcommand{\aB}{{\sf B}} @@ -343,15 +345,15 @@ \newtheorem{setting}[thm]{Setting} \newtheorem{warning}[thm]{Warning} -% Numbering of equations. Number equation subordniate to theorems. +% Numbering of equations. Number equation subordniate to theorems. \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. \setlist[enumerate]{label=(\thethm.\arabic*), before={\setcounter{enumi}{\value{equation}}}, after={\setcounter{equation}{\value{enumi}}}} % Shorthand notations -\newcommand{↪}{↪} +\newcommand{\into}{\hookrightarrow} \newcommand{\onto}{\twoheadrightarrow} \newcommand{\wtilde}{\widetilde} \newcommand{\what}{\widehat} @@ -374,4 +376,4 @@ \newcommand\CounterStep{\addtocounter{thm}{1}\setcounter{equation}{0}} % 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{$#2$}}