Chern classes of tropical vector bundles

Details Chern classes of tropical vector bundles Chern classes of tropical vector bundles

2009-11-15

arxiv.org/abs/0911.2909v1

Mathematics

Algebraic Geometry

14 pages, 3 figures

Scientific paper

We introduce tropical vector bundles, morphisms and rational sections of these bundles and define the pull-back of a tropical vector bundle and of a rational section along a morphism. Afterwards we use the bounded rational sections of a tropical vector bundle to define the Chern classes of this bundle and prove some basic properties of Chern classes. Finally we give a complete classification of all vector bundles on an elliptic curve up to isomorphisms.

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