The Stacks project

Bibliography entry EGA

author
Dieudonné, Jean and Grothendieck, Alexander
title
Éléments de géométrie algébrique
year
1961–1967
journal
Inst. Hautes Études Sci. Publ. Math.
volume
4, 8, 11, 17, 20, 24, 28, 32

@ARTICLE{EGA,
    AUTHOR = "Dieudonn{\'e}, Jean and Grothendieck, Alexander",
    TITLE = "\'{E}l\'ements de g\'eom\'etrie alg\'ebrique",
    JOURNAL = "Inst. Hautes \'Etudes Sci. Publ. Math.",
    VOLUME = "4, 8, 11, 17, 20, 24, 28, 32",
    YEAR = "1961--1967"
}

      

This item is referenced in 87 tags:

  • in Section 10.36: Normal rings, which cites IV, 5.13.5 and 0, 4.1.4 of EGA
  • in Lemma 10.102.7, which cites Chapter 0, Proposition 16.5.4 of EGA
  • in Lemma 10.152.4: Serre's criterion for normality, which cites IV, Theorem 5.8.6 of EGA
  • in Definition 10.156.1, which cites Chapter 0, Definition 23.1.1 of EGA
  • in Lemma 10.156.16: Tate, which cites Theorem 23.1.3 of EGA
  • in Section 10.158: Ascending properties, which cites IV, Proposition 6.3.1 of EGA
  • in Lemma 10.158.1, which cites IV, Proposition 6.3.1 of EGA
  • in Lemma 15.44.3, which cites IV, Theorem 18.6.6 and Proposition 18.8.8 of EGA
  • in Section 17.1: Introduction
  • in Section 18.1: Introduction
  • in Section 26.1: Introduction
  • in Lemma 26.6.4, which cites II, Err 1, Prop. 1.8.1 of EGA
  • in Section 26.10: Immersions of schemes
  • in Lemma 26.22.2: Valuative criterion separatedness, which cites II Proposition 7.2.3 of EGA
  • in Section 27.1: Introduction
  • in Section 27.8: Proj of a graded ring, which cites II, Section 2 of EGA
  • in Section 28.1: Introduction
  • in Section 28.7: Normal schemes, which cites 0, 4.1.4 of EGA
  • in Section 28.13: Japanese and Nagata schemes, which cites IV Corollary 5.11.4 of EGA
  • in Definition 28.26.1, which cites II Definition 4.5.3 of EGA
  • in Lemma 28.26.2, which cites II Proposition 4.5.6(i) of EGA
  • in Lemma 28.26.5, which cites II Proposition 4.5.6(ii) of EGA
  • in Section 29.1: Introduction
  • in Section 29.7: Scheme theoretic closure and density, which cites IV, Definition 11.10.2 of EGA
  • in Lemma 29.11.3, which cites II, Corollary 1.3.2 of EGA
  • in Definition 29.19.1, which cites II Definition 6.2.3 of EGA
  • in Lemma 29.22.5, which cites IV, Corollary 1.10.4 of EGA
  • in Lemma 29.24.12, which cites IV, Corollaire 2.3.12 of EGA
  • in Lemma 29.27.4, which cites IV Theorem 13.1.3 of EGA
  • in Section 29.30: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
  • in Section 29.33: Unramified morphisms
  • in Definition 29.35.1, which cites II Definition 4.6.1 of EGA
  • in Lemma 29.35.4, which cites II, Proposition 4.6.3 of EGA
  • in Lemma 29.35.5, which cites II Corollary 4.6.6 of EGA
  • in Lemma 29.35.6, which cites II Proposition 5.1.6 of EGA
  • in Lemma 29.36.2, which cites II, Proposition 4.6.2 of EGA
  • in Section 29.38: Quasi-projective morphisms
  • in Definition 29.38.1, which cites II, Definition 5.3.1 of EGA
  • in Lemma 29.38.7, which cites II, Proposition 5.3.4 (i) of EGA
  • in Lemma 29.40.1: Valuative criterion for properness, which cites II Theorem 7.3.8 of EGA
  • in Section 29.41: Projective morphisms
  • in Section 30.1: Introduction
  • in Lemma 30.3.1, which cites II, Theorem 5.2.1 (d') and IV (1.7.17) of EGA
  • in Lemma 30.3.2, which cites II, Theorem 5.2.1 of EGA
  • in Lemma 30.8.1, which cites III Proposition 2.1.12 of EGA
  • in Lemma 30.17.1, which cites III Proposition 2.6.1 of EGA
  • in Lemma 30.18.1, which cites II Theorem 5.6.1(a) of EGA
  • in Proposition 30.19.1, which cites III Theorem 3.2.1 of EGA
  • in Section 30.24: Grothendieck's existence theorem, I
  • in Theorem 30.27.1: Grothendieck's existence theorem, which cites III Theorem 5.1.5 of EGA
  • in Section 31.1: Introduction
  • in Section 31.2: Associated points, which cites IV Definition 3.1.1 of EGA
  • in Section 31.4: Embedded points, which cites IV Definition 3.1.1 of EGA
  • in Section 31.18: Relative effective Cartier divisors, which cites IV, Section 21.15 of EGA
  • in Section 32.1: Introduction
  • in Lemma 32.4.2, which cites IV, Proposition 8.2.9 of EGA
  • in Proposition 32.6.1, which cites IV, Proposition 8.14.2 of EGA
  • in Section 32.11: Characterizing affine schemes, which cites II 6.7.1 of EGA
  • in Section 33.1: Introduction
  • in Lemma 33.7.13, which cites IV Corollary 4.5.13.1(i) of EGA
  • in Section 33.20: Algebraic schemes, which cites I Definition 6.4.1 of EGA
  • in Lemma 35.11.3, which cites IV, 17.7.5 (i) and (ii) of EGA
  • in Section 37.1: Introduction
  • in Theorem 37.15.1, which cites IV Theorem 11.3.1 of EGA
  • in Lemma 37.20.7, which cites IV Corollary 12.1.7(iii) of EGA
  • in Lemma 37.21.4, which cites IV Proposition 17.16.1 of EGA
  • in Lemma 37.38.3: Zariski's Main Theorem, which cites IV Corollary 18.12.13 of EGA
  • in Lemma 37.45.3, which cites IV Corollary 9.6.4 of EGA
  • in Lemma 37.48.9, which cites III, Proposition 5.5.1 of EGA
  • in Theorem 41.15.2: Une equivalence remarquable de catégories, which cites IV, Theorem 18.1.2 of EGA
  • in Lemma 51.3.2, which cites Corollary 5.10.9 of EGA
  • in Proposition 51.8.7: Kollár, which cites IV, Proposition 7.2.2 of EGA
  • in Section 51.15: Improving coherent modules
  • in Section 56.29: Affineness of complement of ramification locus, which cites Chapter IV, Section 21.12 of EGA
  • in Theorem 57.45.2, which cites IV Theorem 18.1.2 of EGA
  • in Section 73.5: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
  • in Section 84.1: Introduction
  • in Section 84.2: Formal schemes à la EGA
  • in Section 84.5: Affine formal algebraic spaces
  • in Remark 84.5.8
  • in Section 84.9: Completion along a closed subset, which cites Chapter I, Section 10.8 of EGA
  • in Remark 84.21.1: Universal property restricted power series, which cites Chapter 0, 7.5.3 of EGA
  • in Section 85.1: Introduction
  • in Section 96.3: The Hom functor, which cites III, Cor 7.7.8 of EGA
  • in Section 107.19: Non-quasi-affine variety with quasi-affine normalization, which cites II Remark 6.6.13 of EGA
  • in Section 107.36: A formally étale non-flat ring map, which cites 0, Example 19.10.3(i) of EGA
  • in Subsection 109.5.11: Theorem on formal functions and Grothendieck's Existence Theorem, which cites III.4.1.5 of EGA