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solutions.tex
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\documentclass[oneside, openany]{memoir}
% hyperref must come first
\usepackage[colorlinks]{hyperref}
\usepackage{amsfonts}
\usepackage[leqno]{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{colonequals}
\usepackage{enumitem}
\usepackage{mathabx}
\usepackage{mathtools}
\usepackage{thmtools}
\usepackage{tikz}
\usepackage[textsize=small]{todonotes}
\usepackage{xspace}
\usepackage{tgpagella}
%\usepackage[sc]{mathpazo}
\usepackage{euler}
\usepackage{microtype}
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\title{Solutions to Foundations of Algebraic Geometry}
\author{Pieter Belmans}
\begin{document}
\maketitle
\begin{abstract}
These notes contain my solutions to Ravi Vakil's Foundations of Algebraic Geometry. For more information I refer you to the official website/blog (\url{http://math216.wordpress.com/}) and the page with the actual notes (\url{http://math.stanford.edu/~vakil/216blog/}).
The solutions are provided as is. I don't claim these to be correct or well written (although I certainly intend them to be for my own benefit). If you encounter any flagrant mistakes, you can contact me by e-mail (\url{[email protected]}) or add a patch to the GitHub repository at \url{https://github.com/pbelmans/math216}. Please do so by the way, preferably by submitting patches.
As the notes are still being written when I started writing up these solutions and there may be changes to the numbering system upcoming: I am using the June 27 version. If I am still interested in these exercises when a final version is posted, I might edit in possible changes.
\end{abstract}
\clearpage
\tableofcontents*
\listoftodos
\chapter{Introduction}
There are no exercises in this chapter.
\part{Preliminaries}
\chapter{Some category theory}
\input{ch2.tex}
\chapter{Sheaves}
\input{ch3.tex}
\part{Schemes}
\chapter{Toward affine schemes}
\input{ch4.tex}
\chapter{The structure sheaf and the definition of schemes in general}
\input{ch5.tex}
\chapter{Some properties of schemes}
\input{ch6.tex}
\end{document}