Geodesic
On the arithmetic of two-dimensional schemes. I.~Distributions and residues
Izvestiya. Mathematics , Tome 10 (1976) no. 4, pp. 695-729.

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This paper is devoted to the generalization of the theory of distributions (adeles) on schemes of dimension 2. Bibliography: 11 titles. 
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A. N. Parshin. On the arithmetic of two-dimensional schemes. I.~Distributions and residues. Izvestiya. Mathematics , Tome 10 (1976) no. 4, pp. 695-729. http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a2/

[1] Burbaki N., Topologicheskie vektornye prostranstva, IL, M., 1959

[2] Burbaki N., Kommutativnaya algebra, Mir, M., 1971 | MR

[3] Cohen I. S., “On the structure and ideal theory of complete local rings”, Trans. Amer. Math. Soc., 59 (1946), 54–106 | DOI | MR | Zbl

[4] Godeman R., Algebraicheskaya topologiya i teoriya puchkov, IL, M., 1961

[5] Grotendik A., “Teoriya kogomologii abstraktnykh algebraicheskikh mnogoobrazii”, Mezhdunarodnyi matematicheskii kongress v Edinburge, Fizmatgiz, M., 1962

[6] Hartshorne R., Residues and Duality, Springer, Berlin, 1966 | MR

[7] Elzein F., “Residus en Geometrie Algebrique”, Compos. Math., 23 (1971), 379–405 | MR | Zbl

[8] Lere Zh., Differentsialnoe i integralnoe ischisleniya na kompleksnom analiticheskom mnogoobrazii, IL, M., 1961

[9] Serr Zh.-P., “Kogerentnye algebraicheskie puchki”, Rassloennye prostranstva, IL, M., 1958

[10] Serr Zh.-P., Algebraicheskie gruppy i polya klassov, Mir, M., 1968

[11] Sharp R. Y., “The Cousin Complex for a Module over a Commutative Noetherian Ring”, Math. Z., 112 (1969), 340–356 | DOI | MR | Zbl