\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*}

The Stacks project

Bibliography entry SGA4

author
Artin, Michael and Grothendieck, Alexander and Verdier, Jean-Louis
title
Theorie de Topos et Cohomologie Etale des Schemas I, II, III
year
1971
publisher
Springer
series
Lecture Notes in Mathematics
volume
269, 270, 305

@BOOK{SGA4,
    AUTHOR = "Artin, Michael and Grothendieck, Alexander and Verdier, Jean-Louis",
    TITLE = "Theorie de Topos et Cohomologie Etale des Schemas {I}, {II}, {III}",
    PUBLISHER = "Springer",
    YEAR = "1971",
    SERIES = "Lecture Notes in Mathematics",
    VOLUME = "269, 270, 305"
}

      

This item is referenced in 24 tags:

  • in Section 7.1: Introduction
  • in Section 7.28: Morphisms of topoi, which cites Exposé IV, Proposition 4.9.4 of SGA4
  • in Lemma 7.28.6, which cites Proposition 4.9.4. Exposé IV of SGA4
  • in Section 7.38: Criterion for existence of points, which cites Exposé VI of SGA4
  • in Section 7.43: Sheaves of algebraic structures
  • in Section 7.45: Comparison with SGA4, which cites Exposee I, Section 5 of SGA4
  • in Section 7.46: Topologies
  • in Section 13.15: Derived functors in general
  • in Section 17.1: Introduction
  • in Section 18.1: Introduction
  • in Lemma 18.38.1, which cites Exposé V, Corollary 1.7.1 of SGA4
  • in Section 18.39: Locally ringed topoi, which cites Exposé IV, Exercice 13.9 of SGA4
  • in Lemma 20.17.3, which cites Expose V bis, 4.1.3 of SGA4
  • in Theorem 20.19.2: Proper base change, which cites Expose V bis, 4.1.1 of SGA4
  • in Section 20.26: Čech cohomology of complexes, which cites Exposee XVII of SGA4
  • in Section 21.1: Introduction
  • in Section 24.1: Introduction, which cites Exposé V, Sec. 7 of SGA4
  • in Section 24.2: Semi-representable objects, which cites Exposé V, Subsection 7.3.0 of SGA4
  • in Section 24.11: Hypercoverings of spaces, which cites Exposé Vbis of SGA4
  • in Remark 24.11.2, which cites Exposé Vbis of SGA4
  • in Section 54.20: Big and small sites of schemes
  • in Section 54.65: Méthode de la trace, which cites Exposé IX, §5 of SGA4
  • in Section 54.79: The proper base change theorem, which cites XII, Theorem 5.1 of SGA4
  • in Section 104.4: Related references on foundations of stacks