53 lines
1.3 KiB
TeX
53 lines
1.3 KiB
TeX
\documentclass[10pt,ngerman,a4paper, fancyfoot, git]{mkessler-script}
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\course{Algebra I}
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\lecturer{Prof.~Dr.~Jens Franke}
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\author{Josia Pietsch}
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\title{title}
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\usepackage{algebra}
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\begin{document}
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\maketitle
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\cleardoublepage
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\tableofcontents
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\cleardoublepage
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\begin{warning}
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This is not an official script!
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This document was written in preparation for the oral exam. It mostly follows the way \textsc{Prof. Franke} presented the material in his lecture rather closely.
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There are probably errors.
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\end{warning}
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\noindent The \LaTeX template by \textsc{Maximilian Kessler} is published under the MIT-License and can be obtained from \url{https://github.com/kesslermaximilian/LatexPackages}. % TODO
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\newline
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\noindent $\mathfrak{k}$ is {\color{red} always} an algebraically closed field and $\mathfrak{k}^n$ is equipped with the Zariski-topology.
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Fields which are not assumed to be algebraically closed have been renamed (usually to $\mathfrak{l}$).
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\pagebreak
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\section{Finiteness conditions}
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\input{inputs/finiteness_conditions}
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\section{The Nullstellensatz and the Zariski topology}
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\input{inputs/nullstellensatz_and_zariski_topology}
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% Lecture 11
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\section{Projective spaces}
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\input{inputs/projective_spaces}
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% Lecture 13
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\section{Varieties}
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\input{inputs/varieties}
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\iffalse
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\section{Übersicht}
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\input{inputs/uebersicht}
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\fi
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\end{document}
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