15 citations · 15 across the 1 of their papers we have counts for
5 papers
On rational equivalence in tropical geometry
Lars Allermann, Simon Hampe, Johannes Rau
This article discusses the concept of rational equivalence in tropical geometry (and replaces the older and imperfect version arXiv:0811.2860). We give the basic definitions in the…
Chern classes of tropical vector bundles
Lars Allermann
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 morphi…
Tropical intersection products on smooth varieties
Lars Allermann
In analogy to chapter 9 of arXiv:0709.3705 we define an intersection product of tropical cycles on tropical linear spaces L^n_k, i.e. on tropical fans of the type max{0,x_1,...,x_n…
Tropical rational equivalence on R^r
Lars Allermann, Johannes Rau
We introduce an improved version of rational equivalence in tropical intersection theory which can be seen as a replacement of chapter 8 of our previous article arXiv:0709.3705v2.…
First Steps in Tropical Intersection Theory
Lars Allermann, Johannes Rau
We establish first parts of a tropical intersection theory. Namely, we define cycles, Cartier divisors and intersection products between these two (without passing to rational equi…