Mathematics. Articles in English (et en français dans le futur).

On the Boyd–Deninger polynomial x+1/x+y+1/y+1, pt. I - The curve

In this post we study the Boyd-Deninger polynomial P(x,y)=x+1/x+y+1/y+1. In particular, we are interested in the elliptic curve that is defined by it.
On the Boyd–Deninger polynomial x+1/x+y+1/y+1, pt. I - The curve

Segre Embedding And Heights

We give a quick look at the Segre embedding and try to use that in a fundamental tool of Diophantine Geometry - heights.
Segre Embedding And Heights

The ring of trigonometric polynomials with complex scalars

This post is a continuation of a previous post about the ring of trigonometric polynomials over the real field. Now we have jumped into the complex field, and the extension is not a trivial matter.
The ring of trigonometric polynomials with complex scalars