The real Mordell-Weil group of rational elliptic surfaces and real lines on del Pezzo surfaces of degree $K^2=1$

Sergey Finashin, Viatcheslav Kharlamov

We undertake a study of topological properties of the real Mordell-Weil group ${\mathrm{MW}}_{\mathbb{R}}$ of real rational elliptic surfaces $X$ which we accompany by a related…