## Normal Bundle of Rational Curves and the Waring's Problem

Alessandro Bernardi, Firenze

The problem to determine the splitting of the normal bundle of rational curves has been considered in the 80s
in a series of papers by Ghione and Sacchiero and in another series by Eisenbud and Van de Ven in the case of
rational space
curves. This case was solved by Sacchiero.
Few facts are known in dimension greater than 3. We aim to explain our approach in any dimension and the
interplay between the Waring decomposition and the splitting of the normal bundle.