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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 53 scientific papers (total in 53 papers)

Families of algebraic curves with fixed degeneracies

S. Yu. Arakelov
English version PDF (981 kB) Citations (53) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1971
\vol 5
\issue 6
\pages 1277--1302
\mathnet{http://mi.mathnet.ru//eng/im2171}
\crossref{https://doi.org/10.1070/IM1971v005n06ABEH001235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=321933}
\zmath{https://zbmath.org/?q=an:0238.14012}
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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 53 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:1096
    Russian version PDF:625
    English version PDF:44
    References:76
    First page:1
     
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