TY - JOUR
TI - Vector bundles on real algebraic curves
AU - Maciejewski, Łukasz
TI - Vector bundles on real algebraic curves
AB - We prove that any topological real line bundle on a compact real algebraic curve X is isomorphic to an algebraic line bundle. The result is then generalized to vector bundles of an arbitrary constant rank. As a consequence we prove that any continuous map from X into a real Grassmannian can be approximated by regular maps.
VL - 2012
IS - Tom 50
PY - 2012
SN - 0083-4386
C1 - 2084-3828
SP - 63
EP - 68
DO - 10.4467/20843828AM.12.003.1123
UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/vector-bundles-on-real-algebraic-curves
KW - Real algebraic curve
KW - algebraic vector bundle
KW - approximation of continuous maps by regular maps