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This article is cited in 40 scientific papers (total in 41 papers)
On the arithmetic of two-dimensional schemes. I. Distributions and residues
A. N. Parshin
Abstract:
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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English version:
Mathematics of the USSR-Izvestiya, 1976, 10:4, 695–729
Bibliographic databases:
 
Document Type:
Article
UDC:
513.6
MSC: Primary 14G99, 14F05; Secondary 14F99
Received: 13.01.1976
Citation:
A. N. Parshin, “On the arithmetic of two-dimensional schemes. I. Distributions and residues”, Izv. Akad. Nauk SSSR Ser. Mat., 40:4 (1976), 736–773; Math. USSR-Izv., 10:4 (1976), 695–729
Citation in format AMSBIB
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\by A.~N.~Parshin
\paper On the arithmetic of two-dimensional schemes. I.~Distributions and residues
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 4
\pages 736--773
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\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 4
\pages 695--729
\crossref{https://doi.org/10.1070/IM1976v010n04ABEH001810}
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This publication is cited in the following articles:
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V. G. Lomadze, “On the ramification theory of two-dimensional local fields”, Math. USSR-Sb., 37:3 (1980), 349–365
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A. A. Beilinson, “Residues and adeles”, Funct. Anal. Appl., 14:1 (1980), 34–35
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S. V. Vostokov, “Explicit construction of class field theory for a multidimensional local field”, Math. USSR-Izv., 26:2 (1986), 263–287
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Zhongming Tang, “An algebraic approach to the residues in algebraic geometry”, Math Z, 203:1 (1990), 1
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A. Huber, “On the Parshin-Beilinson Adeles for schemes”, Abh Math Sem Hamburg, 61:1 (1991), 249
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Reinhold Hübl, “Residues of regular and meromorphic differential forms”, Math Ann, 300:1 (1994), 605
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Fesenko I., “Abelian Local P-Class Field-Theory”, Math. Ann., 301:3 (1995), 561–586
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J. -L. Brylinski, D. A. Mclaughlin, “The geometry of two-dimensional symbols”, K-Theory, 10:3 (1996), 215
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Robert A. Bell, “On properties of the n-dimensional norm residue symbol in higher local class field theory”, Journal of Pure and Applied Algebra, 108:1 (1996), 1
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Kazuya MATSUMI, “Arithmetic of three-dimensional complete regular local rings of positive characteristics”, Tohoku Math Publ, 13:13 (1999), 1
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A. B. Zheglov, “On the classification of two-dimensional local skew fields”, Russian Math. Surveys, 54:4 (1999), 858–859
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I-Chiau Huang, “An Explicit Construction of Residual Complexes”, Journal of Algebra, 225:2 (2000), 698
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A. N. Parshin, “The Krichever Correspondence for Algebraic Surfaces”, Funct. Anal. Appl., 35:1 (2001), 74–76
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A. B. Zheglov, “On the structure of two-dimensional local skew fields”, Izv. Math., 65:1 (2001), 23–55
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D. V. Osipov, “Krichever correspondence for algebraic varieties”, Izv. Math., 65:5 (2001), 941–975
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D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. I”, Izv. Math., 72:5 (2008), 915–976
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S. O. Gorchinskiy, “An adelic resolution for homology sheaves”, Izv. Math., 72:6 (2008), 1187–1252
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