Tropical rational equivalence on R^r

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.

6 pages, 2 figures; minor fixes in version 2 This paper has been withdrawn.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