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Residues and adeles. (English. Russian original) Zbl 0509.14018
Funct. Anal. Appl. 14, 34-35 (1980); translation from Funkts. Anal. Prilozh. 14, No. 1, 44-45 (1980).

##### MSC:
 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.) 32A27 Residues for several complex variables 14G15 Finite ground fields in algebraic geometry 14G20 Local ground fields in algebraic geometry 11S31 Class field theory; $$p$$-adic formal groups 14G25 Global ground fields in algebraic geometry 32C30 Integration on analytic sets and spaces, currents
##### Keywords:
adeles; residues of differential forms; coherent sheaves
Full Text:
##### References:
 [1] J. Tate, Matematika,13, No. 1, 5–14 (1969). [2] A. N. Parshin, Izv. Akad. Nauk SSSR, Ser. Mat.,40, 736–773 (1976). [3] A. N. Parshin, Dokl. Akad. Nauk SSSR,243, No. 4, 355–358 (1978). [4] F. Elzein, Compositio Math.,29, 9–33 (1974).
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