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 DM

author
Deligne, Pierre and Mumford, David
title
The irreducibility of the space of curves of given genus
year
1969
journal
Publ. Math. IHES
volume
36
pages
75–110

@ARTICLE{DM,
    AUTHOR = "Deligne, Pierre and Mumford, David",
    TITLE = "The irreducibility of the space of curves of given genus",
    JOURNAL = "Publ. Math. IHES",
    VOLUME = "36",
    YEAR = "1969",
    PAGES = "75--110"
}

      

This item is referenced in 17 tags:

  • in Section 8.1: Introduction
  • in Section 34.29: Properties of morphisms étale local on source-and-target
  • in Remark 34.29.8, which cites Page 100 of DM
  • in Section 36.18: Normal morphisms
  • in Section 52.1: Introduction
  • in Section 52.18: Semistable reduction for curves
  • in Theorem 52.18.1, which cites Corollary 2.7 of DM
  • in Remark 52.18.2: Improving the bound
  • in Section 86.12: Algebraic stacks
  • in Section 97.2: Preliminary
  • in Section 101.1: Introduction
  • in Definition 101.16.4
  • in Definition 101.22.4
  • in Theorem 101.24.3, which cites Corollary 2.7 of DM
  • in Section 104.2: Classic references
  • in Section 104.3: Books and online notes
  • in Section 105.8: Definition of algebraic stacks