Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry

Details Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry

2005-11-29

arxiv.org/abs/math/0511713v2

Mathematics

Algebraic Geometry

46 Pages, 5 Figures V2. Major changes on the article, newer sections and results about geometric constructions and application

Scientific paper

The notion of geometric construction is introduced. This notion allows to compare incidence configurations in the algebraic and tropical plane. We provide an algorithm such that, given a tropical instance of a geometric construction, it computes sufficient conditions to have an algebraic counterpart related by tropicalization. We also provide sufficient conditions in a geometric construction to ensure that the algebraic counterpart always exists. Geometric constructions are applied to transfer classical theorems to the tropical framework, we provide a notion of incidence theorems and prove several tropical versions of classical theorems like converse Pascal, Fano plane or Cayley-Bacharach.

Affiliated with

Also associated with

No associations

Rating

Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715790