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Algebra i Analiz, 2006, Volume 18, Issue 5, Pages 210–236 (Mi aa94)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Riemann–Roch theorem for operations 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 (294 kB) Citations (4)
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Abstract: The Riemann–Roch theorem for multiplicative operations in oriented cohomology theories for algebraic varieties is proved and an explicit formula for the corresponding Todd classes is given. The formula obtained can also be applied in the topological situation, and the theorem can be regarded as a change-of-variables formula for the integration of cohomology classes.
Received: 29.05.2006
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 5, Pages 837–856
DOI: https://doi.org/10.1090/S1061-0022-07-00976-4
Bibliographic databases:
Document Type: Article
MSC: 14F25, 14F42, 14F43, 14F99
Language: Russian
Citation: A. L. Smirnov, “Riemann–Roch theorem for operations in cohomology of algebraic varieties”, Algebra i Analiz, 18:5 (2006), 210–236; St. Petersburg Math. J., 18:5 (2007), 837–856
Citation in format AMSBIB
\Bibitem{Smi06}
\by A.~L.~Smirnov
\paper Riemann--Roch theorem for operations in cohomology of algebraic varieties
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 5
\pages 210--236
\mathnet{http://mi.mathnet.ru/aa94}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301046}
\zmath{https://zbmath.org/?q=an:1133.14008}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 5
\pages 837--856
\crossref{https://doi.org/10.1090/S1061-0022-07-00976-4}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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