Abstract
We investigate vector bundles on real algebraic varieties. Our goal is to construct rank 2 real and complex stratified-algebraic vector bundles with prescribed Stiefel–Whitney and Chern classes, respectively. We obtain a partial solution of this problem and present two applications.
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W. Kucharz was partially supported by the National Science Centre, Poland, under Grant Number 2014/15/B/ST1/00046. He also acknowledges with gratitude support and hospitality of the Max-Planck-Institut für Mathematik in Bonn.
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Kucharz, W. Stratified-algebraic vector bundles of small rank. Arch. Math. 107, 239–249 (2016). https://doi.org/10.1007/s00013-016-0946-7
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DOI: https://doi.org/10.1007/s00013-016-0946-7