Chern classes of tropical vector bundles
Algebraic Geometry
2009-11-17 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.0911.2909,
title = {Chern classes of tropical vector bundles},
author = {Lars Allermann},
journal= {arXiv preprint arXiv:0911.2909},
year = {2009}
}
Comments
14 pages, 3 figures