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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 319, Pages 261–263 (Mi znsl616)  
This article is cited in 2 scientific papers (total in 2 papers)

Homotopic properties of algebraic vector bundles

A. L. Smirnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (118 kB) Citations (2)
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Abstract: A technique is given which allows to work easily with vector bundles in homotopic algebraic geometry just as in topology. In particular it is proven that any monomorphism and any epimorphism of algebraic vector bundles can be split homotopically and that the tautological vector bundle on the Grassmanian is homotopically universal.
Received: 16.09.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 6, Pages 2580–2581
DOI: https://doi.org/10.1007/s10958-006-0129-3
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. L. Smirnov, “Homotopic properties of algebraic vector bundles”, Problems in the theory of representations of algebras and groups. Part 11, Zap. Nauchn. Sem. POMI, 319, POMI, St. Petersburg, 2004, 261–263; J. Math. Sci. (N. Y.), 134:6 (2006), 2580–2581
Citation in format AMSBIB
\Bibitem{Smi04}
\by A.~L.~Smirnov
\paper Homotopic properties of algebraic vector bundles
\inbook Problems in the theory of representations of algebras and groups. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 319
\pages 261--263
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl616}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117860}
\zmath{https://zbmath.org/?q=an:1106.14009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 134
\issue 6
\pages 2580--2581
\crossref{https://doi.org/10.1007/s10958-006-0129-3}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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