Vector bundles on real algebraic curves

• Authors: Łukasz Maciejewski

Abstracts

EN

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.

• Publisher: Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
• Journal: Universitatis Iagellonicae Acta Mathematica
• Year: 2012
• Volume: 50
• Pages: 63-68

Dates

published

2012

Contributors

author

Łukasz Maciejewski

Identifiers

Biblioteka Nauki

1368095