Pith. sign in

REVIEW 1 cited by

First Steps in Tropical Intersection Theory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0709.3705 v3 pith:OZ6SQVVS submitted 2007-09-24 math.AG math.CO

Lars Allermann , Johannes Rau This is my paper · ORCID
classification math.AGmath.CO
keywords intersectioncyclesfirstequivalencefansproductsrationaltheory
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

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 equivalence) and discuss push-forward and pull-back. We do this first for fans in R^n and then for "abstract" cycles that are fans locally. With regard to applications in enumerative geometry, we finally have a look at rational equivalence and intersection products of cycles and cycle classes in R^n.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quadratically Enriched Plane Curve Counting via Tropical Geometry

    math.AG 2025-02 conditional novelty 7.0 of 10

    A correspondence theorem equates quadratically enriched algebraic curve counts with conjugate point conditions to tropical counts with double point conditions, and a floor diagram algorithm computes them.

Pith tools