On fixed points of rational self-maps of complex projective plane

الأصل · EN

For any given natural d≥ 1 we provide examples of rational self-maps of complex projective plane ² of degree d without (holomorphic) fixed points. This makes a contrast with the situation in one dimension. We also prove that the set of fixed point free rational self-maps of ² is closed (modulo "degenerate" maps) in some natural topology on the space of rational self-maps of ².