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Algebra i Analiz, 2006, Volume 18, Issue 2, Pages 167–224 (Mi aa71)  
This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Orientations and transfers in cohomology of algebraic varieties

A. L. Smirnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (544 kB) Citations (10)
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Abstract: Algebro-geometric cohomology theories are described axiomatically, with a systematic treatment of their orientations. For every oriented theory, transfer mappings are constructed for mappings of smooth varieties that are proper on supports. In some basic cases, transfers are calculated. The presentation is illustrated by motivic cohomology, $K$-theory, algebraic cobordism, and other examples.
Received: 10.01.2006
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 2, Pages 305–346
DOI: https://doi.org/10.1090/S1061-0022-07-00952-1
Bibliographic databases:
Document Type: Article
MSC: 14F99
Language: Russian
Citation: A. L. Smirnov, “Orientations and transfers in cohomology of algebraic varieties”, Algebra i Analiz, 18:2 (2006), 167–224; St. Petersburg Math. J., 18:2 (2007), 305–346
Citation in format AMSBIB
\Bibitem{Smi06}
\by A.~L.~Smirnov
\paper Orientations and transfers in cohomology of algebraic varieties
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 2
\pages 167--224
\mathnet{http://mi.mathnet.ru/aa71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2244939}
\zmath{https://zbmath.org/?q=an:1126.14024}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 2
\pages 305--346
\crossref{https://doi.org/10.1090/S1061-0022-07-00952-1}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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