Vector bundles and regulous maps

Bibliographic description

punktacja MEiN [2013 A]: 35

title:	Vector bundles and regulous maps
author:	Bilski Marcin , Kucharz Wojciech , Valette Anna , Valette Guillaume
journal title:	Mathematische Zeitschrift
volume:	275
issue:	1-2
date of publication :	2013
pages:	403-418
ISSN:	0025-5874
eISSN:	1432-1823
DOI:	10.1007/s00209-012-1141-6
language:	English
journal language:	German
abstract in English:	Let X be a compact nonsingular affine real algebraic variety. We prove that every pre-algebraic vector bundle on X becomes algebraic after finitely many blowing ups. Using this theorem, we then prove that the Stiefel-Whitney classes of any pre-algebraic R -vector bundle on X are algebraic. We also derive that the Chern classes of any pre-algebraic C -vector bundles and the Pontryagin classes of any pre-algebraic R -vector bundle are blow- C -algebraic. We also provide several results on line bundles on X .
keywords in English:	Real algebraic variety, Pre-algebraic vector bundle, Algebraic vector bundle, Algebraic vector bundle, Algebraic vector bundle
affiliation:	Wydział Matematyki i Informatyki : Instytut Matematyki
type:	journal article
subtype:	academic paper