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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 303–319
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001773 (Mi sm3233) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Euler characteristic of a family of algebraic varieties

I. V. Dolgachev
English version PDF (948 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001773
Abstract: In this paper we derive a formula for the $l$-adic Euler characteristic of a one-parameter family of algebraic varieties. We define an algebraic analog of the local monodromy of isolated singularities of algebraic hypersurfaces, defined in the complex case by Milnor. We discuss various conjectures connected with the definition of the conductor of a family of algebraic varieties.
Bibliography: 26 titles.
Received: 12.10.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 297–312
Bibliographic databases:
UDC: 513.015.7
MSC: Primary 14F20, 14D05; Secondary 13B15
Language: English
Original paper language: Russian
Citation: I. V. Dolgachev, “The Euler characteristic of a family of algebraic varieties”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 297–312; Math. USSR-Sb., 18:2 (1972), 303–319
Citation in format AMSBIB
\Bibitem{Dol72}
\by I.~V.~Dolgachev
\paper The Euler characteristic of a~family of algebraic varieties
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 2(10)
\pages 297--312
\mathnet{http://mi.mathnet.ru/sm3233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=327774}
\zmath{https://zbmath.org/?q=an:0226.14003}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 303--319
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001773}
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  • https://www.mathnet.ru/eng/sm/v131/i2/p297
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:152
    English version PDF:16
    References:42
     
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