Geodesic
Homotopic properties of algebraic vector bundles
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 261-263

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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. 
@article{ZNSL_2004_319_a8,
     author = {A. L. Smirnov},
     title = {Homotopic properties of algebraic vector bundles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {261--263},
     publisher = {mathdoc},
     volume = {319},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a8/}
}
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A. L. Smirnov. Homotopic properties of algebraic vector bundles. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 261-263. http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a8/