Tropical rational equivalence on R^r
Algebraic Geometry
2014-08-11 v3 Combinatorics
Abstract
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. Using this new definition, rational equivalence is compatible with push-forwards of cycles. Moreover, we prove that every tropical cycle in R^r is equivalent to a uniquely determined affine cycle, called its degree.
Keywords
Cite
@article{arxiv.0811.2860,
title = {Tropical rational equivalence on R^r},
author = {Lars Allermann and Johannes Rau},
journal= {arXiv preprint arXiv:0811.2860},
year = {2014}
}
Comments
6 pages, 2 figures; minor fixes in version 2 This paper has been withdrawn. An updated and extended version (with a third author) is available here: arXiv:1408.1537