The Stacks project

@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 91 tags:

• in Section 10.37: Normal rings, which cites IV, 5.13.5 and 0, 4.1.4 of EGA
• in Lemma 10.103.7, which cites Chapter 0, Proposition 16.5.4 of EGA
• in Lemma 10.157.4: Serre's criterion for normality, which cites IV, Theorem 5.8.6 of EGA
• in Definition 10.161.1, which cites Chapter 0, Definition 23.1.1 of EGA
• in Lemma 10.161.16: Tate, which cites Theorem 23.1.3 of EGA
• in Section 10.163: Ascending properties, which cites IV, Proposition 6.3.1 of EGA
• in Lemma 10.163.1, which cites IV, Proposition 6.3.1 of EGA
• in Lemma 15.45.3, 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 29.20.1, which cites II Definition 6.2.3 of EGA
• in Theorem 29.22.3: Chevalley's Theorem, which cites IV, Theorem 1.8.4 of EGA
• in Lemma 29.23.5, which cites IV, Corollary 1.10.4 of EGA
• in Lemma 29.25.12, which cites IV, Corollaire 2.3.12 of EGA
• in Lemma 29.28.4, which cites IV Theorem 13.1.3 of EGA
• in Section 29.31: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
• in Section 29.35: Unramified morphisms
• in Definition 29.37.1, which cites II Definition 4.6.1 of EGA
• in Lemma 29.37.4, which cites II, Proposition 4.6.3 of EGA
• in Lemma 29.37.5, which cites II Corollary 4.6.6 of EGA
• in Lemma 29.37.6, which cites II Proposition 5.1.6 of EGA
• in Lemma 29.38.2, which cites II, Proposition 4.6.2 of EGA
• in Section 29.40: Quasi-projective morphisms
• in Definition 29.40.1, which cites II, Definition 5.3.1 of EGA
• in Lemma 29.40.7, which cites II, Proposition 5.3.4 (i) of EGA
• in Lemma 29.42.1: Valuative criterion for properness, which cites II Theorem 7.3.8 of EGA
• in Section 29.43: 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 Lemma 30.20.1, which cites III Cor 3.3.2 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 35.14.3, 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 Section 37.18: Flat modules and relative assassins, which cites IV Proposition 12.1.1.5 of EGA
• in Lemma 37.18.2, which cites IV Proposition 12.1.1.5 of EGA
• in Lemma 37.22.7, which cites IV Corollary 12.1.7(iii) of EGA
• in Lemma 37.23.4, which cites IV Proposition 17.16.1 of EGA
• in Lemma 37.43.3: Zariski's Main Theorem, which cites IV Corollary 18.12.13 of EGA
• in Lemma 37.50.3, which cites IV Corollary 9.6.4 of EGA
• in Lemma 37.53.9, 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 58.29: Affineness of complement of ramification locus, which cites Chapter IV, Section 21.12 of EGA
• in Theorem 59.45.2, which cites IV Theorem 18.1.2 of EGA
• in Section 76.5: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
• in Section 87.1: Introduction
• in Section 87.2: Formal schemes à la EGA
• in Section 87.9: Affine formal algebraic spaces
• in Remark 87.9.8
• in Section 87.14: Completion along a closed subset, which cites Chapter I, Section 10.8 of EGA
• in Remark 87.28.1: Universal property restricted power series, which cites Chapter 0, 7.5.3 of EGA
• in Section 88.1: Introduction
• in Section 99.3: The Hom functor, which cites III, Cor 7.7.8 of EGA
• in Section 110.23: Non-quasi-affine variety with quasi-affine normalization, which cites II Remark 6.6.13 of EGA
• in Section 110.42: A formally étale non-flat ring map, which cites 0, Example 19.10.3(i) of EGA
• in Subsection 112.5.11: Theorem on formal functions and Grothendieck's Existence Theorem, which cites III.4.1.5 of EGA