Bibliography (continued)
This continues the EGA bibliography across the four parts of EGA IV (1964, 1965, 1966, 1967). It inherits the numbering from EGA II [1]–[26] and EGA III [27]–[29]; EGA IV adds entries [30]–[44]. Duplicates between parts are merged into a single entry, with the parts in which each entry was cited recorded as a trailing note.
Standing abbreviations used in citations
These extend the EGA III standing-abbreviation table.
| Key | Work |
|---|---|
| (M) | H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton, 1956. |
| (G) | R. Godement, Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1958. |
| (T) | A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J. (2) 9 (1957), pp. 119–221. |
| (FAC) | J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), pp. 197–278. |
| (Bourbaki, Alg. comm., …) | N. Bourbaki, Éléments de mathématique : Algèbre commutative, Hermann, Paris, 1961–1965. |
| (Bourbaki, Alg., …) | N. Bourbaki, Éléments de mathématique : Algèbre, Hermann, Paris, 1942–. |
| (Bourbaki, Top. gén., …) | N. Bourbaki, Éléments de mathématique : Topologie générale, Hermann, Paris, 1940–. |
| (Nagata) | M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Mathematics, no. 13, Interscience Publishers, New York, 1962. [See [30]] |
| (Zariski-Samuel) | O. Zariski and P. Samuel, Commutative Algebra, vols. I–II, Van Nostrand, Princeton, 1958–1960. |
EGA IV — additions
[30] M. Nagata, Local Rings, Interscience Tracts in Pure and Applied Mathematics, no. 13, Interscience Publishers, New York, 1962. (Cited in Parts 1, 2.)
[31] M. Nagata, A Jacobian criterion of simple points, Illinois J. Math. 1 (1957), pp. 427–432. (Cited in Part 1.)
[32] A. Néron, Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. Inst. Hautes Études Sci., n° 21 (1964). (Cited in Part 1.)
[33] M. Nagata, Note on a chain condition for prime ideals, Mem. Coll. Sci. Univ. Kyoto, Ser. A, 32 (1959), pp. 85–90. (Cited in Part 2.)
[34] H. Hironaka, forthcoming article on Projective morphisms (announced; cf. EGA IV, Part 2). (Cited in Part 2.)
[35] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. (2) 79 (1964), pp. 109–326. (Cited in Part 2.)
[36] S. Abhyankar, Local uniformization of algebraic surfaces over ground fields of characteristic , Amer. J. of Math. 63 (1956), pp. 491–526. (Cited in Part 2.)
Translator's note. The journal name as printed in EGA IV Part 2 is "Amer. J. of Math."; the volume number and page range identify the paper unambiguously as Abhyankar, Local Uniformization on Algebraic Surfaces over Ground Fields of Characteristic , Annals of Math. (2) 63 (1956), pp. 491–526. We preserve the EGA spelling and flag the journal-name discrepancy here. The author surname is printed "ABHYANKHAR" in EGA; we correct to "Abhyankar" silently.
[37] H. Cartan, Séminaire de l'École Normale Supérieure, 13ᵉ année (1960–1961). (Cited in Part 2.)
[38] J.-P. Serre, Groupes algébriques et corps de classes, Hermann, Paris, 1959. (Cited in Part 2.)
[39] J.-P. Serre, Corps locaux, Hermann, Paris, 1962. (Cited in Part 3.)
[40] J.-P. Serre, Groupes proalgébriques, Publ. Math. Inst. Hautes Études Sci., n° 7 (1960). (Cited in Part 3.)
[41] A. Grothendieck, Séminaire de Géométrie algébrique, 1962, Cohomologie locale des faisceaux cohérents, et théorèmes de Lefschetz locaux et globaux, Institut des Hautes Études Scientifiques, Bures-sur-Yvette. (Cited in Part 4.) [SGA 2]
[42] M. Demazure and A. Grothendieck, Séminaire de Géométrie algébrique, 1963–1964, Schémas en groupes, Institut des Hautes Études Scientifiques, Bures-sur-Yvette. (Cited in Part 4.) [SGA 3]
[43] M. Artin and A. Grothendieck, Séminaire de Géométrie algébrique, 1963–1964, Cohomologie étale des schémas, Institut des Hautes Études Scientifiques, Bures-sur-Yvette. (Cited in Part 4.) [SGA 4]
[44] C. S. Seshadri, Quotient space by an abelian variety, Mathematische Annalen 152 (1962), pp. 185–194. (Cited in Part 4.)
Translator's note. EGA IV Part 4 prints the author as "G. S. SESHADRI"; the paper is in fact by C. S. Seshadri (Conjeevaram Srirangachari Seshadri). We correct the initials silently in the body of the entry and flag the source misprint here.