Fulton–MacPherson compactification

The Fulton–MacPherson compactification is a technique in algebraic geometry that provides a way to compactify certain moduli spaces of algebraic objects, particularly those related to curves and, more generally, to the study of moduli spaces of unstable, pointed, or decorated objects. This compactification was introduced by William Fulton and Bernd MacPherson in the early 1990s. ### Key Concepts 1.