\begin{equation*}
\DeclareMathOperator\Coim{Coim}
\DeclareMathOperator\Coker{Coker}
\DeclareMathOperator\Ext{Ext}
\DeclareMathOperator\Hom{Hom}
\DeclareMathOperator\Im{Im}
\DeclareMathOperator\Ker{Ker}
\DeclareMathOperator\Mor{Mor}
\DeclareMathOperator\Ob{Ob}
\DeclareMathOperator\Sh{Sh}
\DeclareMathOperator\SheafExt{\mathcal{E}\mathit{xt}}
\DeclareMathOperator\SheafHom{\mathcal{H}\mathit{om}}
\DeclareMathOperator\Spec{Spec}
\newcommand\colim{\mathop{\mathrm{colim}}\nolimits}
\newcommand\lim{\mathop{\mathrm{lim}}\nolimits}
\newcommand\Qcoh{\mathit{Qcoh}}
\newcommand\Sch{\mathit{Sch}}
\newcommand\QCohstack{\mathcal{QC}\!\mathit{oh}}
\newcommand\Cohstack{\mathcal{C}\!\mathit{oh}}
\newcommand\Spacesstack{\mathcal{S}\!\mathit{paces}}
\newcommand\Quotfunctor{\mathrm{Quot}}
\newcommand\Hilbfunctor{\mathrm{Hilb}}
\newcommand\Curvesstack{\mathcal{C}\!\mathit{urves}}
\newcommand\Polarizedstack{\mathcal{P}\!\mathit{olarized}}
\newcommand\Complexesstack{\mathcal{C}\!\mathit{omplexes}}
\newcommand\Pic{\mathop{\mathrm{Pic}}\nolimits}
\newcommand\Picardstack{\mathcal{P}\!\mathit{ic}}
\newcommand\Picardfunctor{\mathrm{Pic}}
\newcommand\Deformationcategory{\mathcal{D}\!\mathit{ef}}
\end{equation*}
105 Desirables
-
Section 105.1: Introduction
-
Section 105.2: Conventions
-
Section 105.3: Sites and Topoi
-
Section 105.4: Stacks
-
Section 105.5: Simplicial methods
-
Section 105.6: Cohomology of schemes
-
Section 105.7: Deformation theory à la Schlessinger
-
Section 105.8: Definition of algebraic stacks
-
Section 105.9: Examples of schemes, algebraic spaces, algebraic stacks
-
Section 105.10: Properties of algebraic stacks
-
Section 105.11: Lisse étale site of an algebraic stack
-
Section 105.12: Things you always wanted to know but were afraid to ask
-
Section 105.13: Quasi-coherent sheaves on stacks
-
Section 105.14: Flat and smooth
-
Section 105.15: Artin's representability theorem
-
Section 105.16: DM stacks are finitely covered by schemes
-
Section 105.17: Martin Olsson's paper on properness
-
Section 105.18: Proper pushforward of coherent sheaves
-
Section 105.19: Keel and Mori
-
Section 105.20: Add more here