Conference abstracts

Session S02 - Commutative Algebra and Algebraic Geometry

July 25, 16:20 ~ 16:50

## A Surface Coming from an Arithmetic Question

### Homero Gallegos-Ruiz

### CONACyT - Universidad Autonoma de Zacatecas, Mexico - h.r.gallegos.ruiz@gmail.com

We study a surface in $\mathbb{P}^6$, which is a complete intersection of four quadrics coming from the rational distance problem: given a unit square on the plane, is there a point on the plane whose distances to the four points are all rational?

Joint work with Martha Bernal (CONACyT - Universidad Autonoma de Zacatecas, Mexico.).