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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2004 Volume 319, Pages 261–263 (Mi znsl616)

This article is cited 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

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.

UDC: 512.5

Received: 16.09.2004


 English version:
Journal of Mathematical Sciences (New York), 2006, 134:6, 2580–2581

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