2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155110We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is also shown that there exists a canonical measure of analytic Zariski decomposition on an algebraic manifold of positive Kodaira dimension. Such a canonical measure is unique and invariant under birational transformations under the assumption of the finite generation of canonical rings.56 pagesDifferential GeometryAlgebraic GeometryCanonical measures and Kahler-Ricci flowtext