Ciliberto–Miranda degenerations of CP2 blown up in 10 points

We simplify the Ciliberto and Miranda method (Ciliberto and Miranda, 2008) [4], to construct degenerations of CP2 blown up in several points yielding lower bounds of the corresponding multi-point Seshadri constants. In particular we exploit an asymptotic result of (Eckl, 2008) [6] which allows us to check the non-specialty of much fewer linear systems on CP2. We obtain the lower bound for the 10-point Seshadri constant on CP2.