On the curvature of the real amoeba

Details On the curvature of the real amoeba On the curvature of the real amoeba

2010-12-30

arxiv.org/abs/1101.0095v1

Mathematics

Algebraic Geometry

Scientific paper

For a real smooth algebraic curve $A \subset (\mathhbb{C}^*)^2$, the amoeba $\mathcal{A} \subset \mathbb{R}^2$ is the image of $A$ under the map Log : $(x,y) \mapsto (\log |x|, \log | y |)$. We describe an universal bound for the total curvature of the real amoeba $\mathcal{A}_{\mathbb{R} A}$ and we prove that this bound is reached if and only if the curve $A$ is a simple Harnack curve in the sense of Mikhalkin.

Affiliated with

Also associated with

No associations

Rating

On the curvature of the real amoeba 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 On the curvature of the real amoeba, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the curvature of the real amoeba will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401115