The Stacks project

\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*}

104 A Guide to the Literature

  • Section 104.1: Short introductory articles
  • Section 104.2: Classic references
  • Section 104.3: Books and online notes
  • Section 104.4: Related references on foundations of stacks
  • Section 104.5: Papers in the literature
    • Subsection 104.5.1: Deformation theory and algebraic stacks
    • Subsection 104.5.2: Coarse moduli spaces
    • Subsection 104.5.3: Intersection theory
    • Subsection 104.5.4: Quotient stacks
    • Subsection 104.5.5: Cohomology
    • Subsection 104.5.6: Existence of finite covers by schemes
    • Subsection 104.5.7: Rigidification
    • Subsection 104.5.8: Stacky curves
    • Subsection 104.5.9: Hilbert, Quot, Hom and branchvariety stacks
    • Subsection 104.5.10: Toric stacks
    • Subsection 104.5.11: Theorem on formal functions and Grothendieck's Existence Theorem
    • Subsection 104.5.12: Group actions on stacks
    • Subsection 104.5.13: Taking roots of line bundles
    • Subsection 104.5.14: Other papers
  • Section 104.6: Stacks in other fields
  • Section 104.7: Higher stacks