Let X be a real rational surface having only weighted blowup singularities. Denote by Diffalg(X) the group of algebraic automorphisms or algebraic diffeomorphisms of X into itself. Let n be a natural integer and let e = [e1, . . . , el] be a partition of n. Denote by X e the set of l-tuples (P1, . . . , Pl) of distinct nonsingular infinitely near points of… (More)