- 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 85 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 10.151.4: Serre's criterion for normality, which cites IV, Theorem 5.8.6 of EGA
- in Definition 10.155.1, which cites Chapter 0, Definition 23.1.1 of EGA
- in Lemma 10.155.16: Tate, which cites Theorem 23.1.3 of EGA
- in Section 10.157: Ascending properties, which cites IV, Proposition 6.3.1 of EGA
- in Lemma 10.157.1, 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 25.1: Introduction
- in Lemma 25.6.4, which cites II, Err 1, Prop. 1.8.1 of EGA
- in Lemma 25.22.2: Valuative criterion separatedness, which cites II Proposition 7.2.3 of EGA
- in Section 26.1: Introduction
- in Section 26.8: Proj of a graded ring, which cites II, Section 2 of EGA
- in Section 27.1: Introduction
- in Section 27.7: Normal schemes, which cites 0, 4.1.4 of EGA
- in Section 27.13: Japanese and Nagata schemes, which cites IV Corollary 5.11.4 of EGA
- in Definition 27.26.1, which cites II Definition 4.5.3 of EGA
- in Lemma 27.26.2, which cites II Proposition 4.5.6(i) of EGA
- in Lemma 27.26.5, which cites II Proposition 4.5.6(ii) of EGA
- in Section 28.1: Introduction
- in Section 28.7: Scheme theoretic closure and density, which cites IV, Definition 11.10.2 of EGA
- in Lemma 28.11.3, which cites II, Corollary 1.3.2 of EGA
- in Definition 28.19.1, which cites II Definition 6.2.3 of EGA
- in Lemma 28.22.5, which cites IV, Corollary 1.10.4 of EGA
- in Lemma 28.24.11, which cites IV, Corollaire 2.3.12 of EGA
- in Lemma 28.27.4, which cites IV Theorem 13.1.3 of EGA
- in Section 28.30: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
- in Section 28.33: Unramified morphisms
- in Definition 28.35.1, which cites II Definition 4.6.1 of EGA
- in Lemma 28.35.4, which cites II, Proposition 4.6.3 of EGA
- in Lemma 28.35.5, which cites II Corollary 4.6.6 of EGA
- in Lemma 28.35.6, which cites II Proposition 5.1.6 of EGA
- in Lemma 28.36.2, which cites II, Proposition 4.6.2 of EGA
- in Section 28.38: Quasi-projective morphisms
- in Definition 28.38.1, which cites II, Definition 5.3.1 of EGA
- in Lemma 28.38.7, which cites II, Proposition 5.3.4 (i) of EGA
- in Lemma 28.40.1: Valuative criterion for properness, which cites II Theorem 7.3.8 of EGA
- in Section 28.41: Projective morphisms
- in Section 29.1: Introduction
- in Lemma 29.3.1, which cites II, Theorem 5.2.1 (d') and IV (1.7.17) of EGA
- in Lemma 29.3.2, which cites II, Theorem 5.2.1 of EGA
- in Lemma 29.8.1, which cites III Proposition 2.1.12 of EGA
- in Lemma 29.17.1, which cites III Proposition 2.6.1 of EGA
- in Lemma 29.18.1, which cites II Theorem 5.6.1(a) of EGA
- in Proposition 29.19.1, which cites III Theorem 3.2.1 of EGA
- in Section 29.24: Grothendieck's existence theorem, I
- in Theorem 29.27.1: Grothendieck's existence theorem, which cites III Theorem 5.1.5 of EGA
- in Section 30.1: Introduction
- in Section 30.2: Associated points, which cites IV Definition 3.1.1 of EGA
- in Section 30.4: Embedded points, which cites IV Definition 3.1.1 of EGA
- in Section 30.18: Relative effective Cartier divisors, which cites IV, Section 21.15 of EGA
- in Section 31.1: Introduction
- in Lemma 31.4.2, which cites IV, Proposition 8.2.9 of EGA
- in Proposition 31.6.1, which cites IV, Proposition 8.14.2 of EGA
- in Section 31.11: Characterizing affine schemes, which cites II 6.7.1 of EGA
- in Section 32.1: Introduction
- in Lemma 32.7.13, which cites IV Corollary 4.5.13.1(i) of EGA
- in Section 32.20: Algebraic schemes, which cites I Definition 6.4.1 of EGA
- in Lemma 34.11.3, which cites IV, 17.7.5 (i) and (ii) of EGA
- in Section 36.1: Introduction
- in Theorem 36.15.1, which cites IV Theorem 11.3.1 of EGA
- in Lemma 36.20.7, which cites IV Corollary 12.1.7(iii) of EGA
- in Lemma 36.21.4, which cites IV Proposition 17.16.1 of EGA
- in Lemma 36.38.3: Zariski's Main Theorem, which cites IV Corollary 18.12.13 of EGA
- in Lemma 36.43.3, which cites IV Corollary 9.6.4 of EGA
- in Lemma 36.46.9, which cites III, Proposition 5.5.1 of EGA
- in Theorem 40.15.2: Une equivalence remarquable de catégories, which cites IV, Theorem 18.1.2 of EGA
- in Proposition 48.7.7: Kollár, which cites IV, Proposition 7.2.2 of EGA
- in Section 48.14: Improving coherent modules
- in Section 53.29: Affineness of complement of ramification locus, which cites Chapter IV, Section 21.12 of EGA
- in Theorem 54.45.2, which cites IV Theorem 18.1.2 of EGA
- in Section 68.5: Conormal sheaf of an immersion, which cites IV Definition 16.1.2 of EGA
- in Section 79.1: Introduction
- in Section 79.2: Formal schemes à la EGA
- in Section 79.5: Affine formal algebraic spaces
- in Remark 79.5.8
- in Section 79.9: Completion along a closed subset, which cites Chapter I, Section 10.8 of EGA
- in Remark 79.21.1: Universal property restricted power series, which cites Chapter 0, 7.5.3 of EGA
- in Section 80.1: Introduction
- in Section 91.3: The Hom functor, which cites III, Cor 7.7.8 of EGA
- in Section 102.19: Non-quasi-affine variety with quasi-affine normalization, which cites II Remark 6.6.13 of EGA
- in Section 102.36: A formally étale non-flat ring map, which cites 0, Example 19.10.3(i) of EGA
- in Subsection 104.5.11: Theorem on formal functions and Grothendieck's Existence Theorem, which cites III.4.1.5 of EGA