main.tex.bak

\documentclass[10pt]{article} %add [titlepage] to have the title on its own page
\usepackage{etex}

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\usepackage{mathpazo}

\usepackage{fancyhdr, titling}

\usepackage{amsthm, amsmath, amssymb, amsfonts}
\usepackage{hyperref, cleveref}

\usepackage{mathrsfs}
\usepackage{bm}
\let\amssquare\square
\usepackage{mathtools} % for \mathclap, used to center extra-wide diagrams.
\usepackage{marvosym}



\usepackage{graphicx}
\usepackage{float, wrapfig}
\usepackage{placeins} %Garder les flottants dans la bonne section with \FloatBarrier
\usepackage[all]{xy} %Faire des diagrammes
%\usepackage{tikz} %MWAHAHAHAHAHAHAHA
%\usetikzlibrary{arrows,decorations.pathmorphing,backgrounds,positioning,fit,petri}
\usepackage{braket}

\usepackage{fixltx2e} %Utiliser les indices en mode texte
\usepackage{xcolor}
\usepackage{framed} %Encadrer des trucs

\usepackage{listings}
\usepackage{enumerate}
\usepackage{multirow}
\usepackage{titlesec} %Changer l'aspect des titres de section
%\usepackage{parskip} %Pas de tabulations

\usepackage[margin=1in]{geometry}


%-------------Théorèmes-------------%

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%\renewcommand{\theTheorem}{\arabic{section}} %Do not display section number
\newtheorem*{Theorem*}{Theorem}
\newtheorem*{Proposition*}{Proposition}
\newtheorem{Proposition}[Theorem]{Proposition}
\newtheorem{Lemma}[Theorem]{Lemma}
\newtheorem{Conjecture}[Theorem]{Conjecture}
\newtheorem{Corollary}[Theorem]{Corollary}

\newtheorem*{Problem*}{Problem}
\newtheorem{Problem}{Problem}[section]


\theoremstyle{definition}
\newtheorem*{Example*}{Example}
\newtheorem*{Definition*}{Definition}
\newtheorem{Example}{Example}


\theoremstyle{remark}
\newtheorem*{Remark}{Remark}
\newtheorem*{Notation}{Notation}


%-------------Raccourcis-------------%
%Categories variables
\newcommand{\C}{\mathscr{C}} 
\newcommand{\D}{\mathscr{D}} 

%Categories usuelles
%\newcommand{\Set}{\mathsf{Set}} % sets
\newcommand{\Grp}{\mathsf{Grp}} % groups
\newcommand{\Ab}{\mathsf{Ab}} % abelian groups
\newcommand{\Sh}{\mathsf{Sh}} % sheaves

%Ensembles:
\newcommand{\CC}{\mathbb{C}}
\newcommand{\QQ}{\mathbb{Q}}
\newcommand{\FF}{\mathbb{F}}
\newcommand{\ZZ}{\mathbb{Z}}
\newcommand{\RR}{\mathbb{R}}
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%Fraktur
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\newcommand{\aaa}{\mathfrak{a}}

%Objets specifiques
\newcommand{\rr}{\mathcal{R}}

%Barres et indices
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\newcommand{\Fp}{\mathbb{F}_p}
\newcommand{\Fpbar}{\overline{\mathbb{F}}_p}
\newcommand{\GQ}{G_{\mathbb{Q}}}
\newcommand{\x}{^{\times}}

%Texte
\newcommand{\op}{\mathrm{op}} % the opposite category
\newcommand{\Hom}{\operatorname{Hom}} % hom-set
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\newcommand{\Mod}{\mathrm{mod} \ }
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\DeclareMathOperator{\Ima}{Im}


%% Comments for drafts:
\newcommand{\todo}[1]{\textcolor{magenta}{\small #1}} % note in text, red, small font
\newcommand{\comment}[1]{\textcolor{blue}{\small #1}} % note in text, red, small font




\titleformat{\section}
{\Large\bfseries} %add \center to center title
{\thesection}{1em}{}

\setcounter{tocdepth}{2} %Profondeur de la table des matières
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\newcommand\numberthis{\addtocounter{equation}{1}\tag{\theequation}} %Number equations in align*
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\renewcommand{\labelenumi}{(\roman{enumi})}

\makeatletter
\renewcommand{\@maketitle}{
\newpage
 \null
 \vskip 2em%
 \begin{center}%
  {\LARGE \@title \par}%
 \end{center}%
 \par} \makeatother


\linespread{1.1}

\title{Saturated graded rings of finite group representations}
\author{B\'{e}atrice I. Chetard}
\date{\today}






\begin{document}

	\maketitle
	\thispagestyle{fancy}
	\fancyhf{}
	\rhead{Last update: \thedate}
	\lhead{\theauthor}
	
	\tableofcontents

	\input{contents/motivation}
	\input{contents/preliminaries}
	\input{contents/repringDp}
	\input{contents/counterexampleA4}
	\input{contents/saturatedring}



\bibliographystyle{alpha}


\bibliography{bibliography}


\end{document}