Resumen de Linear systems representing threefolds which are scrolls on a rational surface

Dario Portelli, Emilia Mezzetti

• Let $X$ be a scroll over a rational surface. We construct a linear system of surfaces in $\mathbb{P}^3$ yielding a birational map $\mathbb{P}^3\dashrightarrow X$. We apply this construction to the scrolls of Bordiga and Palatini.