\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 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