Tropical rational equivalence on R^r

Details Tropical rational equivalence on R^r Tropical rational equivalence on R^r

2008-11-18

arxiv.org/abs/0811.2860v2

Mathematics

Algebraic Geometry

6 pages, 2 figures; minor fixes in version 2

Scientific paper

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.

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