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Sbornik: Mathematics, 1997, Volume 188, Issue 5, Pages 697–723
DOI: https://doi.org/10.1070/sm1997v188n05ABEH000230
(Mi sm230)
 

This article is cited in 15 scientific papers (total in 15 papers)

Adele constructions of direct images of differentials and symbols

D. V. Osipov

M. V. Lomonosov Moscow State University
References:
Abstract: Explicit constructions are given for certain residues and symbols from differentials and $K_2$-groups of two-dimensional local fields to differentials and multiplicative groups of one-dimensional local fields. The maps obtained are used to construct the Gysin morphisms between the cohomology of the sheaves of regular differential forms and between the Chow groups in the case of a projective morphism of an algebraic surface onto an algebraic curve.
Received: 17.07.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 5, Pages 59–84
DOI: https://doi.org/10.4213/sm230
Bibliographic databases:
Document Type: Article
UDC: 512.71+512.73
MSC: Primary 14F10; Secondary 11R56, 11S70, 14B15, 19C20, 55N99, 12J10
Language: English
Original paper language: Russian
Citation: D. V. Osipov, “Adele constructions of direct images of differentials and symbols”, Mat. Sb., 188:5 (1997), 59–84; Sb. Math., 188:5 (1997), 697–723
Citation in format AMSBIB
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\paper Adele constructions of direct images of differentials and symbols
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\yr 1997
\vol 188
\issue 5
\pages 59--84
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\transl
\jour Sb. Math.
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\pages 697--723
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Linking options:
  • https://www.mathnet.ru/eng/sm230
  • https://doi.org/10.1070/sm1997v188n05ABEH000230
  • https://www.mathnet.ru/eng/sm/v188/i5/p59
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:510
    Russian version PDF:225
    English version PDF:19
    References:64
    First page:1
     
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