\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*}
18 Modules on Sites
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Section 18.1: Introduction
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Section 18.2: Abelian presheaves
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Section 18.3: Abelian sheaves
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Section 18.4: Free abelian presheaves
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Section 18.5: Free abelian sheaves
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Section 18.6: Ringed sites
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Section 18.7: Ringed topoi
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Section 18.8: 2-morphisms of ringed topoi
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Section 18.9: Presheaves of modules
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Section 18.10: Sheaves of modules
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Section 18.11: Sheafification of presheaves of modules
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Section 18.12: Morphisms of topoi and sheaves of modules
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Section 18.13: Morphisms of ringed topoi and modules
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Section 18.14: The abelian category of sheaves of modules
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Section 18.15: Exactness of pushforward
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Section 18.16: Exactness of lower shriek
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Section 18.17: Global types of modules
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Section 18.18: Intrinsic properties of modules
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Section 18.19: Localization of ringed sites
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Section 18.20: Localization of morphisms of ringed sites
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Section 18.21: Localization of ringed topoi
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Section 18.22: Localization of morphisms of ringed topoi
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Section 18.23: Local types of modules
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Section 18.24: Basic results on local types of modules
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Section 18.25: Closed immersions of ringed topoi
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Section 18.26: Tensor product
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Section 18.27: Internal Hom
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Section 18.28: Flat modules
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Section 18.29: Towards constructible modules
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Section 18.30: Flat morphisms
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Section 18.31: Invertible modules
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Section 18.32: Modules of differentials
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Section 18.33: Finite order differential operators
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Section 18.34: The naive cotangent complex
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Section 18.35: Stalks of modules
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Section 18.36: Skyscraper sheaves
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Section 18.37: Localization and points
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Section 18.38: Pullbacks of flat modules
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Section 18.39: Locally ringed topoi
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Section 18.40: Lower shriek for modules
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Section 18.41: Constant sheaves
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Section 18.42: Locally constant sheaves
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Section 18.43: Localizing sheaves of rings