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*}

Bibliography entry BS

author
Bhatt, Bhargav and Scholze, Peter
title
The pro-étale topology for schemes
year
2013
pages
1 – 38

@UNPUBLISHED{BS,
    AUTHOR = "Bhatt, Bhargav and Scholze, Peter",
    TITLE = "The pro-\'etale topology for schemes",
    YEAR = "2013",
    PAGES = "1 -- 38",
    NOTE = "preprint"
}

      

This item is referenced in 9 tags:

  • in Section 15.82: Derived Completion
  • in Lemma 49.6.19, which cites Lemma 6.5.9 (2) of BS
  • in Definition 53.3.6, which cites Definition 7.2.1 of BS
  • in Lemma 53.3.9, which cites Definition 7.2.4 of BS
  • in Proposition 53.3.10, which cites Theorem 7.2.5 of BS
  • in Section 56.1: Introduction
  • in Section 56.4: Ind-Zariski algebra
  • in Section 56.6: Identifying local rings versus ind-Zariski
  • in Remark 56.6.9