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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 6, Pages 1167–1180
DOI: https://doi.org/10.1070/IM1974v008n06ABEH002141 (Mi im2004) 		 
This article is cited in 66 scientific papers (total in 66 papers)

Intersection theory of divisors on an arithmetic surface

S. Yu. Arakelov
English version PDF (556 kB) Citations (66)
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DOI: https://doi.org/10.1070/IM1974v008n06ABEH002141
Abstract: In this article it is explained how to construct for a nonsingular model of a curve defined over a number field a theory analogous to the theory of divisors, and the intersection numbers of divisors, on a compact algebraic surface.
Received: 04.06.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 6, Pages 1179–1192
Bibliographic databases:
UDC: 513.6
MSC: Primary 14G25, 14H25; Secondary 53C55
Language: English
Original paper language: Russian
Citation: S. Yu. Arakelov, “Intersection theory of divisors on an arithmetic surface”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974), 1179–1192; Math. USSR-Izv., 8:6 (1974), 1167–1180
Citation in format AMSBIB
\Bibitem{Ara74}
\by S.~Yu.~Arakelov
\paper Intersection theory of divisors on an arithmetic surface
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 6
\pages 1179--1192
\mathnet{http://mi.mathnet.ru/im2004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=472815}
\zmath{https://zbmath.org/?q=an:0355.14002}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 6
\pages 1167--1180
\crossref{https://doi.org/10.1070/IM1974v008n06ABEH002141}
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    • This publication is cited in the following 66 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1930
    Russian version PDF:961
    English version PDF:91
    References:91
    First page:1
     
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