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 Serre_algebre_locale

author
Serre, Jean-Pierre
title
Algèbre locale. Multiplicités
year
1965
publisher
Springer-Verlag
series
Cours au Collège de France, 1957–1958, rédigé par Pierre Gabriel. Seconde édition, 1965. Lecture Notes in Mathematics
volume
11
pages
vii+188

@BOOK{Serre_algebre_locale,
    AUTHOR = "Serre, Jean-Pierre",
    TITLE = "Alg\`ebre locale. {M}ultiplicit\'es",
    SERIES = "Cours au Coll\`ege de France, 1957--1958, r\'edig\'e par Pierre Gabriel. Seconde \'edition, 1965. Lecture Notes in Mathematics",
    VOLUME = "11",
    PUBLISHER = "Springer-Verlag",
    ADDRESS = "Berlin",
    YEAR = "1965",
    PAGES = "vii+188"
}

      

This item is referenced in 9 tags:

  • in Section 41.1: Introduction
  • in Section 42.1: Introduction, which cites Chapter V of Serre_algebre_locale
  • in Lemma 42.6.1, which cites Chapter V of Serre_algebre_locale
  • in Theorem 42.15.5, which cites Theorem 1 in part B of Chapter IV of Serre_algebre_locale
  • in Section 42.19: Reduction to the diagonal
  • in Proposition 42.19.3
  • in Lemma 42.19.4, which cites Chapter V of Serre_algebre_locale
  • in Remark 42.19.5
  • in Lemma 42.22.1, which cites Chapter V, Section 7, formula (10) of Serre_algebre_locale