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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 6, Pages 1277–1302
DOI: https://doi.org/10.1070/IM1971v005n06ABEH001235 (Mi im2171) 		 
This article is cited in 52 scientific papers (total in 52 papers)

Families of algebraic curves with fixed degeneracies

S. Yu. Arakelov
English version PDF (981 kB) Citations (52)
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DOI: https://doi.org/10.1070/IM1971v005n06ABEH001235
Abstract: In this paper we prove that there exist only finitely many nonisomorphic and nonconstant curves of fixed genus, defined over a fixed function field and having bad reductions at a given finite set of points of this field.
Received: 15.06.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 6, Pages 1269–1293
Bibliographic databases:
UDC: 513.724
MSC: Primary 14H10; Secondary 14J15
Language: English
Original paper language: Russian
Citation: S. Yu. Arakelov, “Families of algebraic curves with fixed degeneracies”, Izv. Akad. Nauk SSSR Ser. Mat., 35:6 (1971), 1269–1293; Math. USSR-Izv., 5:6 (1971), 1277–1302
Citation in format AMSBIB
\Bibitem{Ara71}
\by S.~Yu.~Arakelov
\paper Families of algebraic curves with fixed degeneracies
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 6
\pages 1269--1293
\mathnet{http://mi.mathnet.ru/im2171}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=321933}
\zmath{https://zbmath.org/?q=an:0238.14012}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 6
\pages 1277--1302
\crossref{https://doi.org/10.1070/IM1971v005n06ABEH001235}
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  • https://doi.org/10.1070/IM1971v005n06ABEH001235
  • https://www.mathnet.ru/eng/im/v35/i6/p1269
    • This publication is cited in the following 52 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1044
    Russian version PDF:615
    English version PDF:31
    References:64
    First page:1
     
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