\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 Sch

author
Schlessinger, Michael
title
Functors of Artin rings
year
1968
journal
Trans. Amer. Math. Soc.
volume
130
pages
208–222

@ARTICLE{Sch,
    AUTHOR = "Schlessinger, Michael",
    TITLE = "Functors of {A}rtin rings",
    JOURNAL = "Trans. Amer. Math. Soc.",
    VOLUME = "130",
    YEAR = "1968",
    PAGES = "208--222"
}

      

This item is referenced in 11 tags:

  • in Section 82.1: Introduction
  • in Section 82.7: Formal objects and completion categories
  • in Remark 82.7.6
  • in Section 82.8: Smooth morphisms, which cites Definition 2.2. of Sch
  • in Remark 82.8.4, which cites Definition 2.2. of Sch
  • in Section 82.10: Schlessinger's conditions
  • in Remark 82.10.3
  • in Section 82.16: Rim-Schlessinger conditions and deformation categories, which cites Theorem 2.11 of Sch
  • in Remark 82.16.5, which cites Theorem 2.11 of Sch
  • in Section 85.1: Introduction
  • in Subsection 104.5.1: Deformation theory and algebraic stacks