Beĭlinson, A. A. 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 32 Documents 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 Citations:Zbl 0212.261; Zbl 0227.14012; Zbl 0358.14012; Zbl 0443.12006; Zbl 0159.227 PDFBibTeX XMLCite \textit{A. A. Beĭlinson}, Funct. Anal. Appl. 14, 34--35 (1980; Zbl 0509.14018); translation from Funkts. Anal. Prilozh. 14, No. 1, 44--45 (1980) Full Text: DOI 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). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.