Bibliography

[1] H. Cartan and C. Chevalley, Séminaire de l'École Normale Supérieure, 8th year (1955–56): Géométrie algébrique.

[2] H. Cartan and S. Eilenberg, Homological Algebra, Princeton Math. Series (Princeton University Press), 1956. — Cited as (M).

[3] W. L. Chow and J. Igusa, Cohomology theory of varieties over rings, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 1244–1248.

[4] R. Godement, Théorie des faisceaux, Actualités Scientifiques et Industrielles, no. 1252, Paris (Hermann), 1958. — Cited as (G).

[5] H. Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Publ. Math. IHÉS, no. 5, 1960.

[6] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. Journal 9 (1957), 119–221. — Cited as (T).

[7] A. Grothendieck, Cohomology theory of abstract algebraic varieties, in: Proc. Intern. Congress of Mathematicians, pp. 103–118, Edinburgh (1958).

[8] A. Grothendieck, Géométrie formelle et géométrie algébrique, Séminaire Bourbaki, 11th year (1958–59), exposé 182.

[9] M. Nagata, A general theory of algebraic geometry over Dedekind domains, Amer. J. Math.: I, 78 (1956), 78–116; II, 80 (1958), 382–420.

[10] D. G. Northcott, Ideal Theory, Cambridge Univ. Press, 1953.

[11] P. Samuel, Commutative algebra (notes by D. Herzig), Cornell Univ., 1953.

[12] P. Samuel, Algèbre locale, Mémorial des Sciences Mathématiques, no. 123, Paris, 1953.

[13] P. Samuel and O. Zariski, Commutative Algebra, 2 vols., New York (Van Nostrand), 1958–1960.

[14] J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. 61 (1955), 197–278. — Cited as (FAC).

[15] J.-P. Serre, Sur la cohomologie des variétés algébriques, J. de Math. Pures Appl. (9) 36 (1957), 1–16.

[16] J.-P. Serre, Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier 6 (1955–56), 1–42.

[17] J.-P. Serre, Sur la dimension homologique des anneaux et des modules noethériens, in: Proc. Intern. Symp. on Algebraic Number Theory, pp. 176–189, Tokyo-Nikko, 1955.

[18] A. Weil, Foundations of Algebraic Geometry, Amer. Math. Soc. Colloquium Publications, no. 29, 1946.

[19] A. Weil, Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc. 55 (1949), 497–508.

[20] O. Zariski, Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields, Mem. Amer. Math. Soc., no. 5, 1951.

[21] O. Zariski, A new proof of Hilbert's Nullstellensatz, Bull. Amer. Math. Soc. 53 (1947), 362–368.

[22] E. Kähler, Geometria Arithmetica, Ann. di Mat. (4) 45 (1958), 1–368.